46455577555464 has 576 divisors, whose sum is σ = 168526419609600. Its totient is φ = 11400096556800.

The previous prime is 46455577555459. The next prime is 46455577555493.

46455577555464 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 5 + 5 + 7 + 7 + 5 + 554 + 64 = 666.

46455577555464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 46455577555392 and 46455577555401.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 270522349 + ... + 270694019.

It is an arithmetic number, because the mean of its divisors is an integer number (292580589600).

Almost surely, 2^{46455577555464} is an apocalyptic number.

46455577555464 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 46455577555464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84263209804800).

46455577555464 is an abundant number, since it is smaller than the sum of its proper divisors (122070842054136).

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

46455577555464 is a wasteful number, since it uses less digits than its factorization.

46455577555464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172094 (or 172080 counting only the distinct ones).

The product of its digits is 7056000000, while the sum is 72.

The spelling of 46455577555464 in words is "forty-six trillion, four hundred fifty-five billion, five hundred seventy-seven million, five hundred fifty-five thousand, four hundred sixty-four".