23798513664 has 256 divisors, whose sum is σ = 72518409600. Its totient is φ = 7707820032.

The previous prime is 23798513663. The next prime is 23798513677. The reversal of 23798513664 is 46631589732.

23798513664 is a `hidden beast` number, since 2 + 37 + 98 + 513 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

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 23798513664.

It is not an unprimeable number, because it can be changed into a prime (23798513663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32734869 + ... + 32735595.

Almost surely, 2^23798513664 is an apocalyptic number.

23798513664 is a gapful number since it is divisible by the number (24) 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 23798513664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36259204800).

23798513664 is an abundant number, since it is smaller than the sum of its proper divisors (48719895936).

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

23798513664 is an frugal number, since it uses more digits than its factorization.

23798513664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 769 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 23798513664 in words is "twenty-three billion, seven hundred ninety-eight million, five hundred thirteen thousand, six hundred sixty-four".