23349958971264 has 256 divisors, whose sum is σ = 71149037568000. Its totient is φ = 7531062220800.

The previous prime is 23349958971259. The next prime is 23349958971271. The reversal of 23349958971264 is 46217985994332.

23349958971264 is a `hidden beast` number, since 2 + 3 + 3 + 499 + 5 + 8 + 9 + 7 + 126 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 23349958971192 and 23349958971201.

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, 906464817 + ... + 906490575.

It is an arithmetic number, because the mean of its divisors is an integer number (277925928000).

Almost surely, 2^{23349958971264} is an apocalyptic number.

23349958971264 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 23349958971264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35574518784000).

23349958971264 is an abundant number, since it is smaller than the sum of its proper divisors (47799078596736).

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

23349958971264 is a wasteful number, since it uses less digits than its factorization.

23349958971264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34274 (or 34256 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 23349958971264 in words is "twenty-three trillion, three hundred forty-nine billion, nine hundred fifty-eight million, nine hundred seventy-one thousand, two hundred sixty-four".