11456446300064 has 48 divisors (see below), whose sum is σ = 23435420450400. Its totient is φ = 5506333803264.

The previous prime is 11456446300027. The next prime is 11456446300097. The reversal of 11456446300064 is 46000364465411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11456446299988 and 11456446300024.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26981654 + ... + 27402965.

It is an arithmetic number, because the mean of its divisors is an integer number (488237926050).

Almost surely, 2^{11456446300064} is an apocalyptic number.

It is an amenable number.

11456446300064 is an abundant number, since it is smaller than the sum of its proper divisors (11978974150336).

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

11456446300064 is a wasteful number, since it uses less digits than its factorization.

11456446300064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54384885 (or 54384877 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 11456446300064 in words is "eleven trillion, four hundred fifty-six billion, four hundred forty-six million, three hundred thousand, sixty-four".