45629779879152 has 200 divisors, whose sum is σ = 156136932415200. Its totient is φ = 12587525411328.

The previous prime is 45629779879097. The next prime is 45629779879153. The reversal of 45629779879152 is 25197897792654.

It is a happy number.

45629779879152 is a `hidden beast` number, since 4 + 56 + 297 + 79 + 87 + 91 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45629779879153) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86456527 + ... + 86982702.

It is an arithmetic number, because the mean of its divisors is an integer number (780684662076).

Almost surely, 2^{45629779879152} is an apocalyptic number.

45629779879152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45629779879152 is an abundant number, since it is smaller than the sum of its proper divisors (110507152536048).

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

45629779879152 is a wasteful number, since it uses less digits than its factorization.

45629779879152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173439285 (or 173439270 counting only the distinct ones).

The product of its digits is 4800902400, while the sum is 81.

The spelling of 45629779879152 in words is "forty-five trillion, six hundred twenty-nine billion, seven hundred seventy-nine million, eight hundred seventy-nine thousand, one hundred fifty-two".