23120951537664 has 520 divisors, whose sum is σ = 69678036988560. Its totient is φ = 7639341465600.

The previous prime is 23120951537647. The next prime is 23120951537699. The reversal of 23120951537664 is 46673515902132.

23120951537664 is a `hidden beast` number, since 2 + 3 + 1 + 209 + 5 + 1 + 5 + 376 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23120951537664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31286808207 + ... + 31286808945.

It is an arithmetic number, because the mean of its divisors is an integer number (133996224978).

Almost surely, 2^{23120951537664} is an apocalyptic number.

23120951537664 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 23120951537664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34839018494280).

23120951537664 is an abundant number, since it is smaller than the sum of its proper divisors (46557085450896).

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

23120951537664 is an equidigital number, since it uses as much as digits as its factorization.

23120951537664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 23120951537664 in words is "twenty-three trillion, one hundred twenty billion, nine hundred fifty-one million, five hundred thirty-seven thousand, six hundred sixty-four".