11213657742400 has 63 divisors (see below), whose sum is σ = 27592936180159. Its totient is φ = 4485409518080.

The previous prime is 11213657742377. The next prime is 11213657742437. The reversal of 11213657742400 is 424775631211.

The square root of 11213657742400 is 3348680.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3030579612736 + 8183078129664 = 1740856^2 + 2860608^2 .

It is a super-2 number, since 2×11213657742400² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 133905342 + ... + 133989058.

Almost surely, 2^{11213657742400} is an apocalyptic number.

11213657742400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11213657742400 is the 3348680-th square number.

It is an amenable number.

11213657742400 is an abundant number, since it is smaller than the sum of its proper divisors (16379278437759).

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

11213657742400 is an frugal number, since it uses more digits than its factorization.

11213657742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167456 (or 83724 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 11213657742400 in words is "eleven trillion, two hundred thirteen billion, six hundred fifty-seven million, seven hundred forty-two thousand, four hundred".