23513420664 has 192 divisors, whose sum is σ = 73607788800. Its totient is φ = 6988322304.

The previous prime is 23513420663. The next prime is 23513420687. The reversal of 23513420664 is 46602431532.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23513420663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 609189 + ... + 646635.

It is an arithmetic number, because the mean of its divisors is an integer number (383373900).

Almost surely, 2^23513420664 is an apocalyptic number.

23513420664 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 23513420664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36803894400).

23513420664 is an abundant number, since it is smaller than the sum of its proper divisors (50094368136).

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

23513420664 is a wasteful number, since it uses less digits than its factorization.

23513420664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37504 (or 37488 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 23513420664 in words is "twenty-three billion, five hundred thirteen million, four hundred twenty thousand, six hundred sixty-four".