11540397117456 has 45 divisors (see below), whose sum is σ = 32297197686429. Its totient is φ = 3846785450688.

The previous prime is 11540397117427. The next prime is 11540397117503. The reversal of 11540397117456 is 65471179304511.

It is a happy number.

The square root of 11540397117456 is 3397116.

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

11540397117456 is a `hidden beast` number, since 1 + 1 + 5 + 40 + 39 + 7 + 117 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9875306250000 + 1665090867456 = 3142500^2 + 1290384^2 .

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, 40623846 + ... + 40906938.

Almost surely, 2^{11540397117456} is an apocalyptic number.

11540397117456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11540397117456 is the 3397116-th square number.

It is an amenable number.

11540397117456 is an abundant number, since it is smaller than the sum of its proper divisors (20756800568973).

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

11540397117456 is an frugal number, since it uses more digits than its factorization.

11540397117456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566200 (or 283098 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 11540397117456 in words is "eleven trillion, five hundred forty billion, three hundred ninety-seven million, one hundred seventeen thousand, four hundred fifty-six".