46447157807064 has 384 divisors, whose sum is σ = 147255548544000. Its totient is φ = 13220344005120.

The previous prime is 46447157807053. The next prime is 46447157807087. The reversal of 46447157807064 is 46070875174464.

46447157807064 is a `hidden beast` number, since 4 + 6 + 447 + 1 + 57 + 80 + 7 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 46447157806992 and 46447157807010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14199679749 + ... + 14199683019.

It is an arithmetic number, because the mean of its divisors is an integer number (383477991000).

Almost surely, 2^{46447157807064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46447157807064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73627774272000).

46447157807064 is an abundant number, since it is smaller than the sum of its proper divisors (100808390736936).

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

46447157807064 is a wasteful number, since it uses less digits than its factorization.

46447157807064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5308 (or 5287 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 63.

The spelling of 46447157807064 in words is "forty-six trillion, four hundred forty-seven billion, one hundred fifty-seven million, eight hundred seven thousand, sixty-four".