46652355325664 has 72 divisors (see below), whose sum is σ = 100958178661704. Its totient is φ = 21205074528000.

The previous prime is 46652355325643. The next prime is 46652355325679.

It is a happy number.

46652355325664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46652355325597 and 46652355325606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178178654 + ... + 178440290.

It is an arithmetic number, because the mean of its divisors is an integer number (1402196925857).

Almost surely, 2^{46652355325664} is an apocalyptic number.

46652355325664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46652355325664 is an abundant number, since it is smaller than the sum of its proper divisors (54305823336040).

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

46652355325664 is a wasteful number, since it uses less digits than its factorization.

46652355325664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307720 (or 307701 counting only the distinct ones).

The product of its digits is 466560000, while the sum is 62.

The spelling of 46652355325664 in words is "forty-six trillion, six hundred fifty-two billion, three hundred fifty-five million, three hundred twenty-five thousand, six hundred sixty-four".