23016442680 has 768 divisors, whose sum is σ = 102534336000. Its totient is φ = 4528742400.

The previous prime is 23016442667. The next prime is 23016442693. The reversal of 23016442680 is 8624461032.

23016442680 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 644 + 2 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23016442667) and next prime (23016442693).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11059240 + ... + 11061320.

It is an arithmetic number, because the mean of its divisors is an integer number (133508250).

Almost surely, 2^23016442680 is an apocalyptic number.

23016442680 is a gapful number since it is divisible by the number (20) 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 23016442680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51267168000).

23016442680 is an abundant number, since it is smaller than the sum of its proper divisors (79517893320).

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

23016442680 is a wasteful number, since it uses less digits than its factorization.

23016442680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

It can be divided in two parts, 2301644 and 2680, that added together give a square (2304324 = 1518²).

The spelling of 23016442680 in words is "twenty-three billion, sixteen million, four hundred forty-two thousand, six hundred eighty".