23834668140 has 288 divisors, whose sum is σ = 76186656000. Its totient is φ = 6025383936.

The previous prime is 23834668139. The next prime is 23834668141. The reversal of 23834668140 is 4186643832.

23834668140 is a `hidden beast` number, since 238 + 346 + 68 + 14 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23834668139) and next prime (23834668141).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23834668141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46826206 + ... + 46826714.

It is an arithmetic number, because the mean of its divisors is an integer number (264537000).

Almost surely, 2^23834668140 is an apocalyptic number.

23834668140 is a gapful number since it is divisible by the number (20) 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 23834668140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38093328000).

23834668140 is an abundant number, since it is smaller than the sum of its proper divisors (52351987860).

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

23834668140 is a wasteful number, since it uses less digits than its factorization.

23834668140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 23834668140 in words is "twenty-three billion, eight hundred thirty-four million, six hundred sixty-eight thousand, one hundred forty".