23314001400 has 144 divisors (see below), whose sum is σ = 78384112560. Its totient is φ = 6210086400.

The previous prime is 23314001387. The next prime is 23314001411. The reversal of 23314001400 is 410041332.

It is a super-2 number, since 2×23314001400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1708605 + ... + 1722195.

It is an arithmetic number, because the mean of its divisors is an integer number (544334115).

Almost surely, 2^23314001400 is an apocalyptic number.

23314001400 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 23314001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39192056280).

23314001400 is an abundant number, since it is smaller than the sum of its proper divisors (55070111160).

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

23314001400 is a wasteful number, since it uses less digits than its factorization.

23314001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14566 (or 14554 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23314001400 its reverse (410041332), we get a palindrome (23724042732).

The spelling of 23314001400 in words is "twenty-three billion, three hundred fourteen million, one thousand, four hundred".