11574733686912 has 640 divisors, whose sum is σ = 38535446347200. Its totient is φ = 3418457333760.

The previous prime is 11574733686797. The next prime is 11574733686959. The reversal of 11574733686912 is 21968633747511.

11574733686912 is a `hidden beast` number, since 1 + 1 + 57 + 473 + 36 + 86 + 9 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11574733686912.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2496166258 + ... + 2496170894.

Almost surely, 2^{11574733686912} is an apocalyptic number.

11574733686912 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 11574733686912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19267723173600).

11574733686912 is an abundant number, since it is smaller than the sum of its proper divisors (26960712660288).

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

11574733686912 is a wasteful number, since it uses less digits than its factorization.

11574733686912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5226 (or 5205 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 11574733686912 in words is "eleven trillion, five hundred seventy-four billion, seven hundred thirty-three million, six hundred eighty-six thousand, nine hundred twelve".