45309161963520 has 3264 divisors, whose sum is σ = 207114157985280. Its totient is φ = 9301364047872.

The previous prime is 45309161963519. The next prime is 45309161963599. The reversal of 45309161963520 is 2536916190354.

45309161963520 is a `hidden beast` number, since 4 + 5 + 30 + 9 + 16 + 19 + 63 + 520 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1224571944942 + ... + 1224571944978.

It is an arithmetic number, because the mean of its divisors is an integer number (63454092520).

Almost surely, 2^{45309161963520} is an apocalyptic number.

45309161963520 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 45309161963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103557078992640).

45309161963520 is an abundant number, since it is smaller than the sum of its proper divisors (161804996021760).

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

45309161963520 is an frugal number, since it uses more digits than its factorization.

45309161963520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 45309161963520 in words is "forty-five trillion, three hundred nine billion, one hundred sixty-one million, nine hundred sixty-three thousand, five hundred twenty".