23913138200064 has 320 divisors, whose sum is σ = 69402454387200. Its totient is φ = 7287859740672.

The previous prime is 23913138200059. The next prime is 23913138200087. The reversal of 23913138200064 is 46000283131932.

It is a super-3 number, since 3×23913138200064³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23913138199989 and 23913138200025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2456908542 + ... + 2456918274.

It is an arithmetic number, because the mean of its divisors is an integer number (216882669960).

Almost surely, 2^{23913138200064} is an apocalyptic number.

23913138200064 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 23913138200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34701227193600).

23913138200064 is an abundant number, since it is smaller than the sum of its proper divisors (45489316187136).

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

23913138200064 is a wasteful number, since it uses less digits than its factorization.

23913138200064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12705 (or 12689 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 23913138200064 in words is "twenty-three trillion, nine hundred thirteen billion, one hundred thirty-eight million, two hundred thousand, sixty-four".