46675577557664 has 96 divisors (see below), whose sum is σ = 101245706860032. Its totient is φ = 21004708480000.

The previous prime is 46675577557649. The next prime is 46675577557781.

46675577557664 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681888689 + ... + 681957135.

It is an arithmetic number, because the mean of its divisors is an integer number (1054642779792).

Almost surely, 2^{46675577557664} is an apocalyptic number.

46675577557664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46675577557664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50622853430016).

46675577557664 is an abundant number, since it is smaller than the sum of its proper divisors (54570129302368).

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

46675577557664 is a wasteful number, since it uses less digits than its factorization.

46675577557664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87750 (or 87742 counting only the distinct ones).

The product of its digits is 31116960000, while the sum is 80.

The spelling of 46675577557664 in words is "forty-six trillion, six hundred seventy-five billion, five hundred seventy-seven million, five hundred fifty-seven thousand, six hundred sixty-four".