45212619962160 has 1200 divisors, whose sum is σ = 188596246924800. Its totient is φ = 10001866936320.

The previous prime is 45212619962137. The next prime is 45212619962179. The reversal of 45212619962160 is 6126991621254.

It is a happy number.

45212619962160 is a `hidden beast` number, since 4 + 5 + 2 + 1 + 2 + 6 + 1 + 9 + 9 + 621 + 6 + 0 = 666.

45212619962160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45212619962097 and 45212619962106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2243903766 + ... + 2243923914.

It is an arithmetic number, because the mean of its divisors is an integer number (157163539104).

Almost surely, 2^{45212619962160} is an apocalyptic number.

45212619962160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45212619962160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94298123462400).

45212619962160 is an abundant number, since it is smaller than the sum of its proper divisors (143383626962640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45212619962160 is a wasteful number, since it uses less digits than its factorization.

45212619962160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20416 (or 20394 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 45212619962160 in words is "forty-five trillion, two hundred twelve billion, six hundred nineteen million, nine hundred sixty-two thousand, one hundred sixty".