23681274440320 has 1536 divisors, whose sum is σ = 75469576089600. Its totient is φ = 6923899699200.

The previous prime is 23681274440249. The next prime is 23681274440347. The reversal of 23681274440320 is 2304447218632.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 77137701607 + ... + 77137701913.

It is an arithmetic number, because the mean of its divisors is an integer number (49133838600).

Almost surely, 2^{23681274440320} is an apocalyptic number.

23681274440320 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 23681274440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37734788044800).

23681274440320 is an abundant number, since it is smaller than the sum of its proper divisors (51788301649280).

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

23681274440320 is a wasteful number, since it uses less digits than its factorization.

23681274440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 46.

The spelling of 23681274440320 in words is "twenty-three trillion, six hundred eighty-one billion, two hundred seventy-four million, four hundred forty thousand, three hundred twenty".