45297691845120 has 6400 divisors, whose sum is σ = 215069179691520. Its totient is φ = 8943619276800.

The previous prime is 45297691845089. The next prime is 45297691845127. The reversal of 45297691845120 is 2154819679254.

45297691845120 is a `hidden beast` number, since 4 + 5 + 2 + 9 + 76 + 91 + 8 + 451 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (45297691845127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 854673431014 + ... + 854673431066.

Almost surely, 2^{45297691845120} is an apocalyptic number.

45297691845120 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 45297691845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107534589845760).

45297691845120 is an abundant number, since it is smaller than the sum of its proper divisors (169771487846400).

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

45297691845120 is a wasteful number, since it uses less digits than its factorization.

45297691845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 45297691845120 in words is "forty-five trillion, two hundred ninety-seven billion, six hundred ninety-one million, eight hundred forty-five thousand, one hundred twenty".