45176102172 has 72 divisors (see below), whose sum is σ = 120708806400. Its totient is φ = 14206395168.

The previous prime is 45176102171. The next prime is 45176102239. The reversal of 45176102172 is 27120167154.

45176102172 is a `hidden beast` number, since 4 + 5 + 17 + 610 + 21 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45176102171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25303 + ... + 301649.

It is an arithmetic number, because the mean of its divisors is an integer number (1676511200).

Almost surely, 2^45176102172 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 45176102172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60354403200).

45176102172 is an abundant number, since it is smaller than the sum of its proper divisors (75532704228).

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

45176102172 is a wasteful number, since it uses less digits than its factorization.

45176102172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276615 (or 276610 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 45176102172 in words is "forty-five billion, one hundred seventy-six million, one hundred two thousand, one hundred seventy-two".