45922665600 has 864 divisors, whose sum is σ = 197959919040. Its totient is φ = 9928396800.

The previous prime is 45922665599. The next prime is 45922665647. The reversal of 45922665600 is 656622954.

It is a happy number.

45922665600 is a `hidden beast` number, since 4 + 5 + 9 + 22 + 66 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 72777285 + ... + 72777915.

Almost surely, 2^45922665600 is an apocalyptic number.

45922665600 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 45922665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98979959520).

45922665600 is an abundant number, since it is smaller than the sum of its proper divisors (152037253440).

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

45922665600 is a wasteful number, since it uses less digits than its factorization.

45922665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 45922665600 in words is "forty-five billion, nine hundred twenty-two million, six hundred sixty-five thousand, six hundred".