23887791648 has 540 divisors, whose sum is σ = 86416416702. Its totient is φ = 6453457920.

The previous prime is 23887791643. The next prime is 23887791659. The reversal of 23887791648 is 84619778832.

It can be written as a sum of positive squares in only one way, i.e., 22030871184 + 1856920464 = 148428^2 + 43092^2 .

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 not an unprimeable number, because it can be changed into a prime (23887791643) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 45849628 + ... + 45850148.

Almost surely, 2^23887791648 is an apocalyptic number.

23887791648 is a gapful number since it is divisible by the number (28) 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 23887791648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43208208351).

23887791648 is an abundant number, since it is smaller than the sum of its proper divisors (62528625054).

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

23887791648 is a wasteful number, since it uses less digits than its factorization.

23887791648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 552 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 23887791648 in words is "twenty-three billion, eight hundred eighty-seven million, seven hundred ninety-one thousand, six hundred forty-eight".