46351622615364 has 288 divisors, whose sum is σ = 136361778309120. Its totient is φ = 13595488727040.

The previous prime is 46351622615339. The next prime is 46351622615371.

46351622615364 is a `hidden beast` number, since 4 + 6 + 3 + 5 + 1 + 622 + 6 + 1 + 5 + 3 + 6 + 4 = 666.

46351622615364 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 46351622615364.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93070237 + ... + 93566939.

Almost surely, 2^{46351622615364} is an apocalyptic number.

46351622615364 is a gapful number since it is divisible by the number (44) 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 46351622615364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68180889154560).

46351622615364 is an abundant number, since it is smaller than the sum of its proper divisors (90010155693756).

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

46351622615364 is a wasteful number, since it uses less digits than its factorization.

46351622615364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496968 (or 496949 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 46351622615364 in words is "forty-six trillion, three hundred fifty-one billion, six hundred twenty-two million, six hundred fifteen thousand, three hundred sixty-four".