46355251809664 has 96 divisors (see below), whose sum is σ = 107431626539160. Its totient is φ = 19865428531200.

The previous prime is 46355251809661. The next prime is 46355251809707. The reversal of 46355251809664 is 46690815255364.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 46355251809596 and 46355251809605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46355251809661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117635364 + ... + 118028764.

Almost surely, 2^{46355251809664} is an apocalyptic number.

It is an amenable number.

46355251809664 is an abundant number, since it is smaller than the sum of its proper divisors (61076374729496).

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

46355251809664 is a wasteful number, since it uses less digits than its factorization.

46355251809664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412216 (or 412197 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 64.

The spelling of 46355251809664 in words is "forty-six trillion, three hundred fifty-five billion, two hundred fifty-one million, eight hundred nine thousand, six hundred sixty-four".