10304112545664 has 320 divisors, whose sum is σ = 33808409033040. Its totient is φ = 2770849579008.

The previous prime is 10304112545609. The next prime is 10304112545707. The reversal of 10304112545664 is 46654521140301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15345022 + ... + 16002434.

Almost surely, 2^{10304112545664} is an apocalyptic number.

10304112545664 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 10304112545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16904204516520).

10304112545664 is an abundant number, since it is smaller than the sum of its proper divisors (23504296487376).

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

10304112545664 is an frugal number, since it uses more digits than its factorization.

10304112545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657475 (or 657442 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

Adding to 10304112545664 its reverse (46654521140301), we get a palindrome (56958633685965).

The spelling of 10304112545664 in words is "ten trillion, three hundred four billion, one hundred twelve million, five hundred forty-five thousand, six hundred sixty-four".