46958153465776 has 160 divisors (see below), whose sum is σ = 107053225869312. Its totient is φ = 19536895284480.

The previous prime is 46958153465761. The next prime is 46958153465803. The reversal of 46958153465776 is 67756435185964.

46958153465776 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4644258961 + ... + 4644269071.

Almost surely, 2^{46958153465776} 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 46958153465776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53526612934656).

46958153465776 is an abundant number, since it is smaller than the sum of its proper divisors (60095072403536).

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

46958153465776 is a wasteful number, since it uses less digits than its factorization.

46958153465776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17247 (or 17241 counting only the distinct ones).

The product of its digits is 4572288000, while the sum is 76.

The spelling of 46958153465776 in words is "forty-six trillion, nine hundred fifty-eight billion, one hundred fifty-three million, four hundred sixty-five thousand, seven hundred seventy-six".