23514113000 has 256 divisors, whose sum is σ = 64462694400. Its totient is φ = 7862400000.

The previous prime is 23514112987. The next prime is 23514113009. The reversal of 23514113000 is 31141532.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23514113009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55852790 + ... + 55853210.

It is an arithmetic number, because the mean of its divisors is an integer number (251807400).

Almost surely, 2^23514113000 is an apocalyptic number.

23514113000 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 23514113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32231347200).

23514113000 is an abundant number, since it is smaller than the sum of its proper divisors (40948581400).

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

23514113000 is a wasteful number, since it uses less digits than its factorization.

23514113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 23514113000 its reverse (31141532), we get a palindrome (23545254532).

The spelling of 23514113000 in words is "twenty-three billion, five hundred fourteen million, one hundred thirteen thousand".