45173909512872 has 1024 divisors, whose sum is σ = 158602199040000. Its totient is φ = 11623357025280.

The previous prime is 45173909512859. The next prime is 45173909512913. The reversal of 45173909512872 is 27821590937154.

It is a happy number.

45173909512872 is a `hidden beast` number, since 4 + 5 + 1 + 7 + 39 + 0 + 9 + 512 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26432947954 + ... + 26432949662.

It is an arithmetic number, because the mean of its divisors is an integer number (154884960000).

Almost surely, 2^{45173909512872} is an apocalyptic number.

45173909512872 is a gapful number since it is divisible by the number (42) 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 45173909512872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79301099520000).

45173909512872 is an abundant number, since it is smaller than the sum of its proper divisors (113428289527128).

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

45173909512872 is a wasteful number, since it uses less digits than its factorization.

45173909512872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 45173909512872 in words is "forty-five trillion, one hundred seventy-three billion, nine hundred nine million, five hundred twelve thousand, eight hundred seventy-two".