1024564864323 has 96 divisors (see below), whose sum is σ = 1917398649600. Its totient is φ = 478021098240.

The previous prime is 1024564864313. The next prime is 1024564864357. The reversal of 1024564864323 is 3234684654201.

It is a happy number.

1024564864323 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1024564864323 - 2⁹ = 1024564863811 is a prime.

It is a super-2 number, since 2×1024564864323² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1024564864313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119128 + ... + 1436426.

It is an arithmetic number, because the mean of its divisors is an integer number (19972902600).

Almost surely, 2^{1024564864323} is an apocalyptic number.

1024564864323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1024564864323 is a deficient number, since it is larger than the sum of its proper divisors (892833785277).

1024564864323 is a wasteful number, since it uses less digits than its factorization.

1024564864323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317377 (or 1317370 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 1024564864323 in words is "one trillion, twenty-four billion, five hundred sixty-four million, eight hundred sixty-four thousand, three hundred twenty-three".