11344400741025 has 243 divisors, whose sum is σ = 22650420544843. Its totient is φ = 5423521804800.

The previous prime is 11344400740973. The next prime is 11344400741039. The reversal of 11344400741025 is 52014700444311.

The square root of 11344400741025 is 3368145.

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

11344400741025 is a `hidden beast` number, since 1 + 134 + 440 + 0 + 74 + 10 + 2 + 5 = 666.

11344400741025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 10383545967201 + 960854773824 = 3222351^2 + 980232^2 .

It is a de Polignac number, because none of the positive numbers 2^k-11344400741025 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 76136917651 + ... + 76136917799.

Almost surely, 2^{11344400741025} is an apocalyptic number.

11344400741025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11344400741025 is the 3368145-th square number.

11344400741025 is the 1684073-rd centered octagonal number.

It is an amenable number.

11344400741025 is a deficient number, since it is larger than the sum of its proper divisors (11306019803818).

11344400741025 is a wasteful number, since it uses less digits than its factorization.

11344400741025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 11344400741025 by its sum of digits (36), we get a square (408398426676900 = 20208870²).

The spelling of 11344400741025 in words is "eleven trillion, three hundred forty-four billion, four hundred million, seven hundred forty-one thousand, twenty-five".