45906608160 has 144 divisors (see below), whose sum is σ = 179035811136. Its totient is φ = 10492936704.

The previous prime is 45906608131. The next prime is 45906608171. The reversal of 45906608160 is 6180660954.

45906608160 is a `hidden beast` number, since 459 + 0 + 6 + 60 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 2267034 + ... + 2287193.

It is an arithmetic number, because the mean of its divisors is an integer number (1243304244).

Almost surely, 2^45906608160 is an apocalyptic number.

45906608160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45906608160 is an abundant number, since it is smaller than the sum of its proper divisors (133129202976).

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

45906608160 is a wasteful number, since it uses less digits than its factorization.

45906608160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554255 (or 4554244 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 45906608160 in words is "forty-five billion, nine hundred six million, six hundred eight thousand, one hundred sixty".