11751644025 has 189 divisors, whose sum is σ = 24348289917. Its totient is φ = 5619715200.

The previous prime is 11751644017. The next prime is 11751644027. The reversal of 11751644025 is 52044615711.

11751644025 = 255² + 256² + ... + 3279².

The square root of 11751644025 is 108405.

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

11751644025 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 1 + 644 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64304361 + 11687339664 = 8019^2 + 108108^2 .

It is not a de Polignac number, because 11751644025 - 2³ = 11751644017 is a prime.

It is a super-2 number, since 2×11751644025² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11751644027) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 160981389 + ... + 160981461.

Almost surely, 2^11751644025 is an apocalyptic number.

11751644025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11751644025 is the 108405-th square number.

11751644025 is the 54203-rd centered octagonal number.

It is an amenable number.

11751644025 is an abundant number, since it is smaller than the sum of its proper divisors (12596645892).

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

11751644025 is an frugal number, since it uses more digits than its factorization.

11751644025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Multiplying 11751644025 by its sum of digits (36), we get a square (423059184900 = 650430²).

The spelling of 11751644025 in words is "eleven billion, seven hundred fifty-one million, six hundred forty-four thousand, twenty-five".