23145214000 has 80 divisors (see below), whose sum is σ = 56639812320. Its totient is φ = 9146476800.

The previous prime is 23145213997. The next prime is 23145214007. The reversal of 23145214000 is 41254132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×23145214000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23145214007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96286 + ... + 235714.

It is an arithmetic number, because the mean of its divisors is an integer number (707997654).

Almost surely, 2^23145214000 is an apocalyptic number.

23145214000 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 23145214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28319906160).

23145214000 is an abundant number, since it is smaller than the sum of its proper divisors (33494598320).

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

23145214000 is a wasteful number, since it uses less digits than its factorization.

23145214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139535 (or 139519 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 23145214000 its reverse (41254132), we get a palindrome (23186468132).

The spelling of 23145214000 in words is "twenty-three billion, one hundred forty-five million, two hundred fourteen thousand".