10649001636 has 405 divisors, whose sum is σ = 35310305121. Its totient is φ = 2808527904.

The previous prime is 10649001613. The next prime is 10649001647. The reversal of 10649001636 is 63610094601.

The square root of 10649001636 is 103194.

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

10649001636 is a `hidden beast` number, since 1 + 0 + 6 + 490 + 0 + 163 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1575296100 + 9073705536 = 39690^2 + 95256^2 .

It is a super-2 number, since 2×10649001636² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10649001636.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 819153966 + ... + 819153978.

Almost surely, 2^10649001636 is an apocalyptic number.

10649001636 is the 103194-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10649001636

10649001636 is an abundant number, since it is smaller than the sum of its proper divisors (24661303485).

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

10649001636 is an frugal number, since it uses more digits than its factorization.

10649001636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 10649001636 by its sum of digits (36), we get a square (383364058896 = 619164²).

10649001636 divided by its sum of digits (36) gives a square (295805601 = 17199²).

The spelling of 10649001636 in words is "ten billion, six hundred forty-nine million, one thousand, six hundred thirty-six".