11874831552 has 224 divisors, whose sum is σ = 36561369600. Its totient is φ = 3772302336.

The previous prime is 11874831533. The next prime is 11874831557. The reversal of 11874831552 is 25513847811.

11874831552 is a `hidden beast` number, since 1 + 18 + 7 + 4 + 83 + 1 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11874831498 and 11874831507.

It is not an unprimeable number, because it can be changed into a prime (11874831557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20229403 + ... + 20229989.

It is an arithmetic number, because the mean of its divisors is an integer number (163220400).

Almost surely, 2^11874831552 is an apocalyptic number.

11874831552 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 11874831552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280684800).

11874831552 is an abundant number, since it is smaller than the sum of its proper divisors (24686538048).

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

11874831552 is a wasteful number, since it uses less digits than its factorization.

11874831552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1124 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The spelling of 11874831552 in words is "eleven billion, eight hundred seventy-four million, eight hundred thirty-one thousand, five hundred fifty-two".