45717172200 has 384 divisors, whose sum is σ = 180350956800. Its totient is φ = 10427304960.

The previous prime is 45717172153. The next prime is 45717172201. The reversal of 45717172200 is 227171754.

45717172200 is a `hidden beast` number, since 457 + 17 + 172 + 20 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45717172201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23170414 + ... + 23172386.

It is an arithmetic number, because the mean of its divisors is an integer number (469663950).

Almost surely, 2^45717172200 is an apocalyptic number.

45717172200 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 45717172200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90175478400).

45717172200 is an abundant number, since it is smaller than the sum of its proper divisors (134633784600).

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

45717172200 is a wasteful number, since it uses less digits than its factorization.

45717172200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The spelling of 45717172200 in words is "forty-five billion, seven hundred seventeen million, one hundred seventy-two thousand, two hundred".