6946312136496 has 160 divisors (see below), whose sum is σ = 18801549480960. Its totient is φ = 2205701836800.

The previous prime is 6946312136459. The next prime is 6946312136557.

It is a happy number.

6946312136496 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

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, 716922820 + ... + 716932508.

It is an arithmetic number, because the mean of its divisors is an integer number (117509684256).

Almost surely, 2^{6946312136496} 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 6946312136496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9400774740480).

6946312136496 is an abundant number, since it is smaller than the sum of its proper divisors (11855237344464).

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

6946312136496 is a wasteful number, since it uses less digits than its factorization.

6946312136496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12315 (or 12309 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 60.

The spelling of 6946312136496 in words is "six trillion, nine hundred forty-six billion, three hundred twelve million, one hundred thirty-six thousand, four hundred ninety-six".