11214683012736 has 192 divisors, whose sum is σ = 37085391907200. Its totient is φ = 3186491996160.

The previous prime is 11214683012651. The next prime is 11214683012759. The reversal of 11214683012736 is 63721038641211.

11214683012736 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 468 + 30 + 127 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×11214683012736² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11214683012691 and 11214683012700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2382156 + ... + 5301323.

It is an arithmetic number, because the mean of its divisors is an integer number (193153082850).

Almost surely, 2^{11214683012736} is an apocalyptic number.

11214683012736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11214683012736 is an abundant number, since it is smaller than the sum of its proper divisors (25870708894464).

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

11214683012736 is a wasteful number, since it uses less digits than its factorization.

11214683012736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7683687 (or 7683672 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11214683012736 in words is "eleven trillion, two hundred fourteen billion, six hundred eighty-three million, twelve thousand, seven hundred thirty-six".