22723906973400 has 960 divisors, whose sum is σ = 84686109742080. Its totient is φ = 5627186380800.

The previous prime is 22723906973399. The next prime is 22723906973401. The reversal of 22723906973400 is 437960932722.

22723906973400 is a `hidden beast` number, since 2 + 2 + 7 + 23 + 90 + 69 + 73 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (22723906973399) and next prime (22723906973401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22723906973401) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 10231384290 + ... + 10231386510.

It is an arithmetic number, because the mean of its divisors is an integer number (88214697648).

Almost surely, 2^{22723906973400} is an apocalyptic number.

22723906973400 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 22723906973400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42343054871040).

22723906973400 is an abundant number, since it is smaller than the sum of its proper divisors (61962202768680).

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

22723906973400 is a wasteful number, since it uses less digits than its factorization.

22723906973400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 22723906973400 in words is "twenty-two trillion, seven hundred twenty-three billion, nine hundred six million, nine hundred seventy-three thousand, four hundred".