10022611464 has 80 divisors (see below), whose sum is σ = 28228019820. Its totient is φ = 3322373760.

The previous prime is 10022611463. The next prime is 10022611513. The reversal of 10022611464 is 46411622001.

10022611464 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 611 + 46 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9570708900 + 451902564 = 97830^2 + 21258^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10022611463) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74562 + ... + 160014.

Almost surely, 2^10022611464 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 10022611464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14114009910).

10022611464 is an abundant number, since it is smaller than the sum of its proper divisors (18205408356).

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

10022611464 is a wasteful number, since it uses less digits than its factorization.

10022611464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85652 (or 85639 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10022611464 in words is "ten billion, twenty-two million, six hundred eleven thousand, four hundred sixty-four".