23340508079616 has 3000 divisors, whose sum is σ = 93904611003720. Its totient is φ = 5751865147392.

The previous prime is 23340508079569. The next prime is 23340508079639. The reversal of 23340508079616 is 61697080504332.

23340508079616 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 0 + 508 + 0 + 79 + 61 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 319732987356 + ... + 319732987428.

It is a 1-persistent number, because it is pandigital, but 2⋅23340508079616 = 46681016159232 is not.

Almost surely, 2^{23340508079616} is an apocalyptic number.

23340508079616 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 23340508079616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46952305501860).

23340508079616 is an abundant number, since it is smaller than the sum of its proper divisors (70564102924104).

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

23340508079616 is an frugal number, since it uses more digits than its factorization.

23340508079616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 117 counting only the distinct ones).

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

The spelling of 23340508079616 in words is "twenty-three trillion, three hundred forty billion, five hundred eight million, seventy-nine thousand, six hundred sixteen".