11649041117568 has 96 divisors (see below), whose sum is σ = 33853223944800. Its totient is φ = 3844567987200.

The previous prime is 11649041117563. The next prime is 11649041117573. The reversal of 11649041117568 is 86571114094611.

11649041117568 is a `hidden beast` number, since 1 + 1 + 64 + 9 + 0 + 4 + 1 + 1 + 17 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (11649041117563) and next prime (11649041117573).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11649041117563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49943128 + ... + 50175831.

It is an arithmetic number, because the mean of its divisors is an integer number (352637749425).

Almost surely, 2^{11649041117568} is an apocalyptic number.

11649041117568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11649041117568 is an abundant number, since it is smaller than the sum of its proper divisors (22204182827232).

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

11649041117568 is a wasteful number, since it uses less digits than its factorization.

11649041117568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100119080 (or 100119065 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 11649041117568 in words is "eleven trillion, six hundred forty-nine billion, forty-one million, one hundred seventeen thousand, five hundred sixty-eight".