23978977344 has 448 divisors, whose sum is σ = 82585681920. Its totient is φ = 6681968640.

The previous prime is 23978977339. The next prime is 23978977357. The reversal of 23978977344 is 44377987932.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125544289 + ... + 125544479.

It is an arithmetic number, because the mean of its divisors is an integer number (184343040).

Almost surely, 2^23978977344 is an apocalyptic number.

23978977344 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 23978977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41292840960).

23978977344 is an abundant number, since it is smaller than the sum of its proper divisors (58606704576).

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

23978977344 is a wasteful number, since it uses less digits than its factorization.

23978977344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 407 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 63.

The spelling of 23978977344 in words is "twenty-three billion, nine hundred seventy-eight million, nine hundred seventy-seven thousand, three hundred forty-four".