11813386851072 has 864 divisors, whose sum is σ = 39184049049600. Its totient is φ = 3532863983616.

The previous prime is 11813386851059. The next prime is 11813386851083. The reversal of 11813386851072 is 27015868331811.

11813386851072 is a `hidden beast` number, since 1 + 1 + 81 + 3 + 386 + 85 + 107 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×11813386851072² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 2800042179 + ... + 2800046397.

Almost surely, 2^{11813386851072} is an apocalyptic number.

11813386851072 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 11813386851072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19592024524800).

11813386851072 is an abundant number, since it is smaller than the sum of its proper divisors (27370662198528).

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

11813386851072 is a wasteful number, since it uses less digits than its factorization.

11813386851072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 11813386851072 in words is "eleven trillion, eight hundred thirteen billion, three hundred eighty-six million, eight hundred fifty-one thousand, seventy-two".