11056461562664 has 32 divisors (see below), whose sum is σ = 23873275800000. Its totient is φ = 4702311893760.

The previous prime is 11056461562633. The next prime is 11056461562669. The reversal of 11056461562664 is 46626516465011.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11056461562669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 753568289 + ... + 753582960.

It is an arithmetic number, because the mean of its divisors is an integer number (746039868750).

Almost surely, 2^{11056461562664} is an apocalyptic number.

11056461562664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11056461562664 is an abundant number, since it is smaller than the sum of its proper divisors (12816814237336).

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

11056461562664 is a wasteful number, since it uses less digits than its factorization.

11056461562664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507151393 (or 1507151389 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 53.

The spelling of 11056461562664 in words is "eleven trillion, fifty-six billion, four hundred sixty-one million, five hundred sixty-two thousand, six hundred sixty-four".