46457066160 has 160 divisors (see below), whose sum is σ = 161039186880. Its totient is φ = 12309553152.

The previous prime is 46457066129. The next prime is 46457066177. The reversal of 46457066160 is 6166075464.

46457066160 is a `hidden beast` number, since 4 + 6 + 4 + 570 + 66 + 16 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270624 + ... + 407616.

It is an arithmetic number, because the mean of its divisors is an integer number (1006494918).

Almost surely, 2^46457066160 is an apocalyptic number.

46457066160 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 46457066160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80519593440).

46457066160 is an abundant number, since it is smaller than the sum of its proper divisors (114582120720).

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

46457066160 is a wasteful number, since it uses less digits than its factorization.

46457066160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137172 (or 137160 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 46457066160 in words is "forty-six billion, four hundred fifty-seven million, sixty-six thousand, one hundred sixty".