11792222464 has 81 divisors (see below), whose sum is σ = 25914767641. Its totient is φ = 5351413760.

The previous prime is 11792222461. The next prime is 11792222473. The reversal of 11792222464 is 46422229711.

The square root of 11792222464 is 108592.

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., 341510400 + 11450712064 = 18480^2 + 107008^2 .

It is a super-3 number, since 3×11792222464³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11792222461) 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, 19111884 + ... + 19112500.

Almost surely, 2^11792222464 is an apocalyptic number.

11792222464 is the 108592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11792222464

11792222464 is an abundant number, since it is smaller than the sum of its proper divisors (14122545177).

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

11792222464 is an frugal number, since it uses more digits than its factorization.

11792222464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 630 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

It can be divided in two parts, 11792 and 222464, that added together give a 4-th power (234256 = 22⁴).

The spelling of 11792222464 in words is "eleven billion, seven hundred ninety-two million, two hundred twenty-two thousand, four hundred sixty-four".