46860928128 has 576 divisors, whose sum is σ = 169787404800. Its totient is φ = 12321275904.

The previous prime is 46860928123. The next prime is 46860928181. The reversal of 46860928128 is 82182906864.

46860928128 is a `hidden beast` number, since 4 + 6 + 8 + 609 + 2 + 8 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46860928123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45101433 + ... + 45102471.

It is an arithmetic number, because the mean of its divisors is an integer number (294769800).

Almost surely, 2^46860928128 is an apocalyptic number.

46860928128 is a gapful number since it is divisible by the number (48) 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 46860928128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84893702400).

46860928128 is an abundant number, since it is smaller than the sum of its proper divisors (122926476672).

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

46860928128 is a wasteful number, since it uses less digits than its factorization.

46860928128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 46860928128 in words is "forty-six billion, eight hundred sixty million, nine hundred twenty-eight thousand, one hundred twenty-eight".