45331292160 has 672 divisors, whose sum is σ = 196036094592. Its totient is φ = 9413591040.

The previous prime is 45331292159. The next prime is 45331292197. The reversal of 45331292160 is 6129213354.

45331292160 is a `hidden beast` number, since 453 + 3 + 129 + 21 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 47 ways as a sum of consecutive naturals, for example, 28384482 + ... + 28386078.

Almost surely, 2^45331292160 is an apocalyptic number.

45331292160 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 45331292160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98018047296).

45331292160 is an abundant number, since it is smaller than the sum of its proper divisors (150704802432).

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

45331292160 is a wasteful number, since it uses less digits than its factorization.

45331292160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 45331292160 in words is "forty-five billion, three hundred thirty-one million, two hundred ninety-two thousand, one hundred sixty".