46653622635664 has 20 divisors (see below), whose sum is σ = 98608793298480. Its totient is φ = 21206192107040.

The previous prime is 46653622635661. The next prime is 46653622635721.

46653622635664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46653622635596 and 46653622635605.

It is not an unprimeable number, because it can be changed into a prime (46653622635661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 132538700494 + ... + 132538700845.

It is an arithmetic number, because the mean of its divisors is an integer number (4930439664924).

Almost surely, 2^{46653622635664} is an apocalyptic number.

46653622635664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46653622635664 is an abundant number, since it is smaller than the sum of its proper divisors (51955170662816).

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

46653622635664 is a wasteful number, since it uses less digits than its factorization.

46653622635664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265077401358 (or 265077401352 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 64.

The spelling of 46653622635664 in words is "forty-six trillion, six hundred fifty-three billion, six hundred twenty-two million, six hundred thirty-five thousand, six hundred sixty-four".