45127655172 has 384 divisors, whose sum is σ = 132574740480. Its totient is φ = 13220444160.

The previous prime is 45127655147. The next prime is 45127655227. The reversal of 45127655172 is 27155672154.

45127655172 is a `hidden beast` number, since 4 + 5 + 1 + 27 + 6 + 551 + 72 = 666.

It is a super-2 number, since 2×45127655172² (a number of 22 digits) contains 22 as substring.

Its product of digits (588000) is a multiple of the sum of its prime divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133909788 + ... + 133910124.

It is an arithmetic number, because the mean of its divisors is an integer number (345246720).

Almost surely, 2^45127655172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45127655172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66287370240).

45127655172 is an abundant number, since it is smaller than the sum of its proper divisors (87447085308).

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

45127655172 is a wasteful number, since it uses less digits than its factorization.

45127655172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The spelling of 45127655172 in words is "forty-five billion, one hundred twenty-seven million, six hundred fifty-five thousand, one hundred seventy-two".