10882453761 has 45 divisors (see below), whose sum is σ = 16598703891. Its totient is φ = 7105375728.

The previous prime is 10882453739. The next prime is 10882453817. The reversal of 10882453761 is 16735428801.

The square root of 10882453761 is 104319.

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

10882453761 is a `hidden beast` number, since 10 + 88 + 24 + 537 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9899255025 + 983198736 = 99495^2 + 31356^2 .

It is not a de Polignac number, because 10882453761 - 2³¹ = 8734970113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10882453721) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 62904271 + ... + 62904443.

Almost surely, 2^10882453761 is an apocalyptic number.

10882453761 is the 104319-th square number.

10882453761 is the 52160-th centered octagonal number.

It is an amenable number.

10882453761 is a deficient number, since it is larger than the sum of its proper divisors (5716250130).

10882453761 is an frugal number, since it uses more digits than its factorization.

10882453761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10882453761 in words is "ten billion, eight hundred eighty-two million, four hundred fifty-three thousand, seven hundred sixty-one".