23131977289344 has 768 divisors, whose sum is σ = 88327876066560. Its totient is φ = 5625505382400.

The previous prime is 23131977289313. The next prime is 23131977289357. The reversal of 23131977289344 is 44398277913132.

23131977289344 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 1 + 9 + 7 + 7 + 289 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290998084 + ... + 291077564.

It is an arithmetic number, because the mean of its divisors is an integer number (115010255295).

Almost surely, 2^{23131977289344} is an apocalyptic number.

23131977289344 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 23131977289344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44163938033280).

23131977289344 is an abundant number, since it is smaller than the sum of its proper divisors (65195898777216).

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

23131977289344 is a wasteful number, since it uses less digits than its factorization.

23131977289344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79729 (or 79714 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 23131977289344 in words is "twenty-three trillion, one hundred thirty-one billion, nine hundred seventy-seven million, two hundred eighty-nine thousand, three hundred forty-four".