11846485974960 has 480 divisors, whose sum is σ = 51542611061760. Its totient is φ = 2367926618112.

The previous prime is 11846485974959. The next prime is 11846485975003. The reversal of 11846485974960 is 6947958464811.

11846485974960 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 6 + 48 + 5 + 97 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3513204 + ... + 6002963.

It is an arithmetic number, because the mean of its divisors is an integer number (107380439712).

Almost surely, 2^{11846485974960} is an apocalyptic number.

11846485974960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11846485974960 is an abundant number, since it is smaller than the sum of its proper divisors (39696125086800).

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

11846485974960 is a wasteful number, since it uses less digits than its factorization.

11846485974960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516225 (or 9516216 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 11846485974960 in words is "eleven trillion, eight hundred forty-six billion, four hundred eighty-five million, nine hundred seventy-four thousand, nine hundred sixty".