46213553752965 has 96 divisors (see below), whose sum is σ = 81336314592000. Its totient is φ = 24270860583936.

The previous prime is 46213553752907. The next prime is 46213553752981. The reversal of 46213553752965 is 56925735531264.

46213553752965 is a `hidden beast` number, since 4 + 6 + 2 + 1 + 3 + 5 + 537 + 5 + 2 + 96 + 5 = 666.

46213553752965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 46213553752965 - 2²² = 46213549558661 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 858657826 + ... + 858711644.

It is an arithmetic number, because the mean of its divisors is an integer number (847253277000).

Almost surely, 2^{46213553752965} is an apocalyptic number.

46213553752965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

46213553752965 is a deficient number, since it is larger than the sum of its proper divisors (35122760839035).

46213553752965 is a wasteful number, since it uses less digits than its factorization.

46213553752965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54971 (or 54968 counting only the distinct ones).

The product of its digits is 204120000, while the sum is 63.

The spelling of 46213553752965 in words is "forty-six trillion, two hundred thirteen billion, five hundred fifty-three million, seven hundred fifty-two thousand, nine hundred sixty-five".