23433662616 has 256 divisors, whose sum is σ = 76103193600. Its totient is φ = 5839257600.

The previous prime is 23433662587. The next prime is 23433662617. The reversal of 23433662616 is 61626633432.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23433662617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26598496 + ... + 26599376.

It is an arithmetic number, because the mean of its divisors is an integer number (297278100).

Almost surely, 2^23433662616 is an apocalyptic number.

23433662616 is a gapful number since it is divisible by the number (26) 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 23433662616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38051596800).

23433662616 is an abundant number, since it is smaller than the sum of its proper divisors (52669530984).

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

23433662616 is a wasteful number, since it uses less digits than its factorization.

23433662616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1566 counting only the distinct ones).

The product of its digits is 559872, while the sum is 42.

The spelling of 23433662616 in words is "twenty-three billion, four hundred thirty-three million, six hundred sixty-two thousand, six hundred sixteen".