22402314114000 has 320 divisors, whose sum is σ = 74582766016512. Its totient is φ = 5779081728000.

The previous prime is 22402314113987. The next prime is 22402314114007. The reversal of 22402314114000 is 41141320422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22402314114007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 531380922 + ... + 531423078.

Almost surely, 2^{22402314114000} is an apocalyptic number.

22402314114000 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 22402314114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37291383008256).

22402314114000 is an abundant number, since it is smaller than the sum of its proper divisors (52180451902512).

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

22402314114000 is a wasteful number, since it uses less digits than its factorization.

22402314114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45071 (or 45055 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22402314114000 its reverse (41141320422), we get a palindrome (22443455434422).

The spelling of 22402314114000 in words is "twenty-two trillion, four hundred two billion, three hundred fourteen million, one hundred fourteen thousand".