45832872960 has 528 divisors, whose sum is σ = 182892932352. Its totient is φ = 10395648000.

The previous prime is 45832872941. The next prime is 45832872997. The reversal of 45832872960 is 6927823854.

45832872960 is a `hidden beast` number, since 458 + 32 + 8 + 72 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45832872897 and 45832872906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48706090 + ... + 48707030.

Almost surely, 2^45832872960 is an apocalyptic number.

45832872960 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 45832872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91446466176).

45832872960 is an abundant number, since it is smaller than the sum of its proper divisors (137060059392).

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

45832872960 is a wasteful number, since it uses less digits than its factorization.

45832872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1109 counting only the distinct ones).

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

The spelling of 45832872960 in words is "forty-five billion, eight hundred thirty-two million, eight hundred seventy-two thousand, nine hundred sixty".