45724228992 has 576 divisors, whose sum is σ = 153748108800. Its totient is φ = 12995334144.

The previous prime is 45724228981. The next prime is 45724228997. The reversal of 45724228992 is 29982242754.

45724228992 is a `hidden beast` number, since 4 + 57 + 2 + 422 + 89 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45724228997) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 173856253 + ... + 173856515.

It is an arithmetic number, because the mean of its divisors is an integer number (266923800).

Almost surely, 2^45724228992 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 45724228992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76874054400).

45724228992 is an abundant number, since it is smaller than the sum of its proper divisors (108023879808).

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

45724228992 is a wasteful number, since it uses less digits than its factorization.

45724228992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 347 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 45724228992 in words is "forty-five billion, seven hundred twenty-four million, two hundred twenty-eight thousand, nine hundred ninety-two".