61864855846816 has 96 divisors (see below), whose sum is σ = 136716155928576. Its totient is φ = 27316648320000.

The previous prime is 61864855846777. The next prime is 61864855846823.

61864855846816 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, 14532000 + ... + 18300511.

It is an arithmetic number, because the mean of its divisors is an integer number (1424126624256).

Almost surely, 2^{61864855846816} is an apocalyptic number.

It is an amenable number.

61864855846816 is an abundant number, since it is smaller than the sum of its proper divisors (74851300081760).

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

61864855846816 is a wasteful number, since it uses less digits than its factorization.

61864855846816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32832686 (or 32832678 counting only the distinct ones).

The product of its digits is 2123366400, while the sum is 76.

The spelling of 61864855846816 in words is "sixty-one trillion, eight hundred sixty-four billion, eight hundred fifty-five million, eight hundred forty-six thousand, eight hundred sixteen".