10249132644 has 81 divisors (see below), whose sum is σ = 26544421267. Its totient is φ = 3334374768.

The previous prime is 10249132639. The next prime is 10249132681. The reversal of 10249132644 is 44623194201.

The square root of 10249132644 is 101238.

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

10249132644 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 9 + 1 + 3 + 2 + 644 = 666.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10249132599 and 10249132608.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28548937 + ... + 28549295.

Almost surely, 2^10249132644 is an apocalyptic number.

10249132644 is the 101238-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10249132644

10249132644 is an abundant number, since it is smaller than the sum of its proper divisors (16295288623).

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

10249132644 is an equidigital number, since it uses as much as digits as its factorization.

10249132644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 10249132644 by its sum of digits (36), we get a square (368968775184 = 607428²).

10249132644 divided by its sum of digits (36) gives a square (284698129 = 16873²).

The spelling of 10249132644 in words is "ten billion, two hundred forty-nine million, one hundred thirty-two thousand, six hundred forty-four".