4523172864000 has 896 divisors, whose sum is σ = 18215899633152. Its totient is φ = 972973670400.

The previous prime is 4523172863903. The next prime is 4523172864037. The reversal of 4523172864000 is 4682713254.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365561814 + ... + 365574186.

Almost surely, 2^{4523172864000} is an apocalyptic number.

4523172864000 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 4523172864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9107949816576).

4523172864000 is an abundant number, since it is smaller than the sum of its proper divisors (13692726769152).

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

4523172864000 is a wasteful number, since it uses less digits than its factorization.

4523172864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12441 (or 12407 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 4523172864000 in words is "four trillion, five hundred twenty-three billion, one hundred seventy-two million, eight hundred sixty-four thousand".