46811514960 has 960 divisors, whose sum is σ = 194059008000. Its totient is φ = 10095611904.

The previous prime is 46811514941. The next prime is 46811514989. The reversal of 46811514960 is 6941511864.

46811514960 is a `hidden beast` number, since 4 + 6 + 8 + 1 + 151 + 496 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 429463386 + ... + 429463494.

It is an arithmetic number, because the mean of its divisors is an integer number (202144800).

Almost surely, 2^46811514960 is an apocalyptic number.

46811514960 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 46811514960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97029504000).

46811514960 is an abundant number, since it is smaller than the sum of its proper divisors (147247493040).

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

46811514960 is a wasteful number, since it uses less digits than its factorization.

46811514960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 46811514960 in words is "forty-six billion, eight hundred eleven million, five hundred fourteen thousand, nine hundred sixty".