11717629504 has 63 divisors (see below), whose sum is σ = 27062444097. Its totient is φ = 5019243264.

The previous prime is 11717629501. The next prime is 11717629513. The reversal of 11717629504 is 40592671711.

It is a happy number.

The square root of 11717629504 is 108248.

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

It can be written as a sum of positive squares in only one way, i.e., 7978062400 + 3739567104 = 89320^2 + 61152^2 .

It is a super-2 number, since 2×11717629504² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11717629501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6060922 + ... + 6062854.

Almost surely, 2^11717629504 is an apocalyptic number.

11717629504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11717629504 is the 108248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11717629504

11717629504 is an abundant number, since it is smaller than the sum of its proper divisors (15344814593).

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

11717629504 is an frugal number, since it uses more digits than its factorization.

11717629504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 43.

The spelling of 11717629504 in words is "eleven billion, seven hundred seventeen million, six hundred twenty-nine thousand, five hundred four".