11046479685696 has 560 divisors, whose sum is σ = 42672543129216. Its totient is φ = 2741981331456.

The previous prime is 11046479685671. The next prime is 11046479685733. The reversal of 11046479685696 is 69658697464011.

It is a happy number.

11046479685696 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 6 + 479 + 68 + 5 + 6 + 96 = 666.

11046479685696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 7330935 + ... + 8708361.

Almost surely, 2^{11046479685696} is an apocalyptic number.

11046479685696 is a gapful number since it is divisible by the number (16) 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 11046479685696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21336271564608).

11046479685696 is an abundant number, since it is smaller than the sum of its proper divisors (31626063443520).

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

11046479685696 is a wasteful number, since it uses less digits than its factorization.

11046479685696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377488 (or 1377469 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 11046479685696 in words is "eleven trillion, forty-six billion, four hundred seventy-nine million, six hundred eighty-five thousand, six hundred ninety-six".