23638215363840 has 2304 divisors, whose sum is σ = 109494122250240. Its totient is φ = 4682549329920.

The previous prime is 23638215363809. The next prime is 23638215363949. The reversal of 23638215363840 is 4836351283632.

23638215363840 is a `hidden beast` number, since 2 + 3 + 6 + 3 + 8 + 21 + 536 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28583089507 + ... + 28583090333.

It is an arithmetic number, because the mean of its divisors is an integer number (47523490560).

Almost surely, 2^{23638215363840} is an apocalyptic number.

23638215363840 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 23638215363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54747061125120).

23638215363840 is an abundant number, since it is smaller than the sum of its proper divisors (85855906886400).

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

23638215363840 is a wasteful number, since it uses less digits than its factorization.

23638215363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 23638215363840 in words is "twenty-three trillion, six hundred thirty-eight billion, two hundred fifteen million, three hundred sixty-three thousand, eight hundred forty".