46871938513296 has 240 divisors, whose sum is σ = 145395611210304. Its totient is φ = 14002289980416.

The previous prime is 46871938513247. The next prime is 46871938513307. The reversal of 46871938513296 is 69231583917864.

46871938513296 is a `hidden beast` number, since 4 + 6 + 8 + 7 + 19 + 3 + 8 + 513 + 2 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31621755 + ... + 33070821.

Almost surely, 2^{46871938513296} 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 46871938513296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72697805605152).

46871938513296 is an abundant number, since it is smaller than the sum of its proper divisors (98523672697008).

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

46871938513296 is a wasteful number, since it uses less digits than its factorization.

46871938513296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449598 (or 1449589 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 46871938513296 in words is "forty-six trillion, eight hundred seventy-one billion, nine hundred thirty-eight million, five hundred thirteen thousand, two hundred ninety-six".