46215344351264 has 48 divisors (see below), whose sum is σ = 99259108433856. Its totient is φ = 21006730694400.

The previous prime is 46215344351251. The next prime is 46215344351279.

46215344351264 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 31523294 + ... + 32956770.

It is an arithmetic number, because the mean of its divisors is an integer number (2067898092372).

Almost surely, 2^{46215344351264} is an apocalyptic number.

46215344351264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46215344351264 is an abundant number, since it is smaller than the sum of its proper divisors (53043764082592).

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

46215344351264 is a wasteful number, since it uses less digits than its factorization.

46215344351264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525089 (or 1525081 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 50.

It can be divided in two parts, 4621534 and 4351264, that added together give a palindrome (8972798).

The spelling of 46215344351264 in words is "forty-six trillion, two hundred fifteen billion, three hundred forty-four million, three hundred fifty-one thousand, two hundred sixty-four".