10456289536 has 243 divisors, whose sum is σ = 27012641943. Its totient is φ = 4024796160.

The previous prime is 10456289533. The next prime is 10456289579. The reversal of 10456289536 is 63598265401.

The square root of 10456289536 is 102256.

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

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 10456289536.

It is not an unprimeable number, because it can be changed into a prime (10456289533) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 125979351 + ... + 125979433.

Almost surely, 2^10456289536 is an apocalyptic number.

10456289536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10456289536 is the 102256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10456289536

10456289536 is an abundant number, since it is smaller than the sum of its proper divisors (16556352407).

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

10456289536 is an frugal number, since it uses more digits than its factorization.

10456289536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

Multiplying 10456289536 by its sum of digits (49), we get a square (512358187264 = 715792²).

10456289536 divided by its sum of digits (49) gives a square (213393664 = 14608²).

It can be divided in two parts, 10456 and 289536, that added together give a palindrome (299992).

The spelling of 10456289536 in words is "ten billion, four hundred fifty-six million, two hundred eighty-nine thousand, five hundred thirty-six".