10930227394464 has 336 divisors, whose sum is σ = 36978494918400. Its totient is φ = 3113957675520.

The previous prime is 10930227394451. The next prime is 10930227394487. The reversal of 10930227394464 is 46449372203901.

10930227394464 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 0 + 22 + 73 + 94 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10930227394464.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 56894409 + ... + 57086199.

It is an arithmetic number, because the mean of its divisors is an integer number (110055044400).

Almost surely, 2^{10930227394464} is an apocalyptic number.

10930227394464 is a gapful number since it is divisible by the number (14) 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 10930227394464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18489247459200).

10930227394464 is an abundant number, since it is smaller than the sum of its proper divisors (26048267523936).

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

10930227394464 is an equidigital number, since it uses as much as digits as its factorization.

10930227394464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192175 (or 192152 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 10930227394464 in words is "ten trillion, nine hundred thirty billion, two hundred twenty-seven million, three hundred ninety-four thousand, four hundred sixty-four".