46645566554664 has 192 divisors, whose sum is σ = 157508015184000. Its totient is φ = 12115461980160.

The previous prime is 46645566554539. The next prime is 46645566554677.

46645566554664 is a `hidden beast` number, since 4 + 6 + 6 + 4 + 5 + 5 + 6 + 6 + 554 + 6 + 64 = 666.

46645566554664 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 = 46645566554592 and 46645566554601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 415350232 + ... + 415462520.

It is an arithmetic number, because the mean of its divisors is an integer number (820354245750).

Almost surely, 2^{46645566554664} is an apocalyptic number.

46645566554664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46645566554664 is an abundant number, since it is smaller than the sum of its proper divisors (110862448629336).

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

46645566554664 is a wasteful number, since it uses less digits than its factorization.

46645566554664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187248 (or 187241 counting only the distinct ones).

The product of its digits is 7464960000, while the sum is 72.

The spelling of 46645566554664 in words is "forty-six trillion, six hundred forty-five billion, five hundred sixty-six million, five hundred fifty-four thousand, six hundred sixty-four".