45932808960 has 216 divisors, whose sum is σ = 159520006464. Its totient is φ = 12202721280.

The previous prime is 45932808949. The next prime is 45932808979. The reversal of 45932808960 is 6980823954.

45932808960 is a `hidden beast` number, since 459 + 32 + 80 + 89 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45932808897 and 45932808906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3114564 + ... + 3129276.

Almost surely, 2^45932808960 is an apocalyptic number.

45932808960 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 45932808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79760003232).

45932808960 is an abundant number, since it is smaller than the sum of its proper divisors (113587197504).

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

45932808960 is a wasteful number, since it uses less digits than its factorization.

45932808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15011 (or 14994 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 45932808960 in words is "forty-five billion, nine hundred thirty-two million, eight hundred eight thousand, nine hundred sixty".