10212440645664 has 60 divisors (see below), whose sum is σ = 30034504267614. Its totient is φ = 3404146881024.

The previous prime is 10212440645663. The next prime is 10212440645699. The reversal of 10212440645664 is 46654604421201.

10212440645664 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 24 + 4 + 0 + 64 + 566 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10059731637264 + 152709008400 = 3171708^2 + 390780^2 .

It is not an unprimeable number, because it can be changed into a prime (10212440645663) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1969989817 + ... + 1969995000.

Almost surely, 2^{10212440645664} is an apocalyptic number.

It is an amenable number.

10212440645664 is an abundant number, since it is smaller than the sum of its proper divisors (19822063621950).

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

10212440645664 is an equidigital number, since it uses as much as digits as its factorization.

10212440645664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939984839 (or 3939984822 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 10212440645664 in words is "ten trillion, two hundred twelve billion, four hundred forty million, six hundred forty-five thousand, six hundred sixty-four".