10021611664 has 45 divisors (see below), whose sum is σ = 20132836633. Its totient is φ = 4832413376.

The previous prime is 10021611629. The next prime is 10021611671. The reversal of 10021611664 is 46611612001.

The square root of 10021611664 is 100108.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5255090064 + 4766521600 = 72492^2 + 69040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11612097 + ... + 11612959.

Almost surely, 2^10021611664 is an apocalyptic number.

10021611664 is the 100108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021611664

10021611664 is an abundant number, since it is smaller than the sum of its proper divisors (10111224969).

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

10021611664 is an frugal number, since it uses more digits than its factorization.

10021611664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 10021611664 in words is "ten billion, twenty-one million, six hundred eleven thousand, six hundred sixty-four".