10947304270464 has 128 divisors (see below), whose sum is σ = 29542702190400. Its totient is φ = 3591303757824.

The previous prime is 10947304270459. The next prime is 10947304270489. The reversal of 10947304270464 is 46407240374901.

It is a happy number.

10947304270464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5846434 + ... + 7488350.

Almost surely, 2^{10947304270464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10947304270464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14771351095200).

10947304270464 is an abundant number, since it is smaller than the sum of its proper divisors (18595397919936).

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

10947304270464 is a wasteful number, since it uses less digits than its factorization.

10947304270464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642210 (or 1642198 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 10947304270464 in words is "ten trillion, nine hundred forty-seven billion, three hundred four million, two hundred seventy thousand, four hundred sixty-four".