45321224256 has 1008 divisors, whose sum is σ = 180829988352. Its totient is φ = 10683187200.

The previous prime is 45321224231. The next prime is 45321224269. The reversal of 45321224256 is 65242212354.

45321224256 is a `hidden beast` number, since 45 + 321 + 2 + 242 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a self number, because there is not a number n which added to its sum of digits gives 45321224256.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 163614390 + ... + 163614666.

Almost surely, 2^45321224256 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 45321224256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90414994176).

45321224256 is an abundant number, since it is smaller than the sum of its proper divisors (135508764096).

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

45321224256 is a wasteful number, since it uses less digits than its factorization.

45321224256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 348 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 45321224256 in words is "forty-five billion, three hundred twenty-one million, two hundred twenty-four thousand, two hundred fifty-six".