23946961824 has 168 divisors, whose sum is σ = 70838558532. Its totient is φ = 7965112320.

The previous prime is 23946961793. The next prime is 23946961849. The reversal of 23946961824 is 42816964932.

It can be written as a sum of positive squares in 2 ways, for example, as 23818366224 + 128595600 = 154332^2 + 11340^2 .

It is a super-2 number, since 2×23946961824² (a number of 22 digits) contains 22 as substring.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 15419032 + ... + 15420584.

Almost surely, 2^23946961824 is an apocalyptic number.

23946961824 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 23946961824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35419279266).

23946961824 is an abundant number, since it is smaller than the sum of its proper divisors (46891596708).

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

23946961824 is an equidigital number, since it uses as much as digits as its factorization.

23946961824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2219 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 23946961824 in words is "twenty-three billion, nine hundred forty-six million, nine hundred sixty-one thousand, eight hundred twenty-four".