45922536000 has 672 divisors, whose sum is σ = 187072194816. Its totient is φ = 10644480000.

The previous prime is 45922535969. The next prime is 45922536013. The reversal of 45922536000 is 63522954.

45922536000 is a `hidden beast` number, since 4 + 592 + 2 + 5 + 3 + 60 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18214740 + ... + 18217260.

Almost surely, 2^45922536000 is an apocalyptic number.

45922536000 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 45922536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93536097408).

45922536000 is an abundant number, since it is smaller than the sum of its proper divisors (141149658816).

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

45922536000 is a wasteful number, since it uses less digits than its factorization.

45922536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 45922536000 in words is "forty-five billion, nine hundred twenty-two million, five hundred thirty-six thousand".