11846967552 has 576 divisors, whose sum is σ = 43169280000. Its totient is φ = 3194505216.

The previous prime is 11846967541. The next prime is 11846967593. The reversal of 11846967552 is 25576964811.

It is a happy number.

11846967552 is a `hidden beast` number, since 1 + 1 + 84 + 6 + 9 + 6 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45045373 + ... + 45045635.

Almost surely, 2^11846967552 is an apocalyptic number.

11846967552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11846967552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21584640000).

11846967552 is an abundant number, since it is smaller than the sum of its proper divisors (31322312448).

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

11846967552 is an equidigital number, since it uses as much as digits as its factorization.

11846967552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 294 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 11846967552 in words is "eleven billion, eight hundred forty-six million, nine hundred sixty-seven thousand, five hundred fifty-two".