46800513180 has 96 divisors (see below), whose sum is σ = 146292007680. Its totient is φ = 12420959040.

The previous prime is 46800513173. The next prime is 46800513187. The reversal of 46800513180 is 8131500864.

46800513180 is a `hidden beast` number, since 4 + 68 + 0 + 0 + 513 + 1 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (46800513173) and next prime (46800513187).

It is a super-2 number, since 2×46800513180² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46800513187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91434 + ... + 319313.

It is an arithmetic number, because the mean of its divisors is an integer number (1523875080).

Almost surely, 2^46800513180 is an apocalyptic number.

It is an amenable number.

46800513180 is an abundant number, since it is smaller than the sum of its proper divisors (99491494500).

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

46800513180 is a wasteful number, since it uses less digits than its factorization.

46800513180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410976 (or 410968 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 46800513180 in words is "forty-six billion, eight hundred million, five hundred thirteen thousand, one hundred eighty".