46864721751120 has 960 divisors, whose sum is σ = 201390910156800. Its totient is φ = 9701341138944.

The previous prime is 46864721751041. The next prime is 46864721751137. The reversal of 46864721751120 is 2115712746864.

It is a happy number.

46864721751120 is a `hidden beast` number, since 4 + 6 + 86 + 4 + 7 + 21 + 7 + 511 + 20 = 666.

46864721751120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 170017729 + ... + 170293151.

It is an arithmetic number, because the mean of its divisors is an integer number (209782198080).

Almost surely, 2^{46864721751120} is an apocalyptic number.

46864721751120 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 46864721751120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100695455078400).

46864721751120 is an abundant number, since it is smaller than the sum of its proper divisors (154526188405680).

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

46864721751120 is a wasteful number, since it uses less digits than its factorization.

46864721751120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275529 (or 275506 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 46864721751120 in words is "forty-six trillion, eight hundred sixty-four billion, seven hundred twenty-one million, seven hundred fifty-one thousand, one hundred twenty".