23268865401144 has 320 divisors, whose sum is σ = 76253504976000. Its totient is φ = 6554016218880.

The previous prime is 23268865401143. The next prime is 23268865401149. The reversal of 23268865401144 is 44110456886232.

23268865401144 is a `hidden beast` number, since 2 + 3 + 2 + 6 + 8 + 86 + 540 + 1 + 14 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23268865401143) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5557027 + ... + 8798765.

It is an arithmetic number, because the mean of its divisors is an integer number (238292203050).

Almost surely, 2^{23268865401144} is an apocalyptic number.

23268865401144 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 23268865401144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38126752488000).

23268865401144 is an abundant number, since it is smaller than the sum of its proper divisors (52984639574856).

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

23268865401144 is a wasteful number, since it uses less digits than its factorization.

23268865401144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241840 (or 3241827 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 23268865401144 in words is "twenty-three trillion, two hundred sixty-eight billion, eight hundred sixty-five million, four hundred one thousand, one hundred forty-four".