22314345102140 has 192 divisors, whose sum is σ = 63036480503808. Its totient is φ = 6432293376000.

The previous prime is 22314345102113. The next prime is 22314345102151. The reversal of 22314345102140 is 4120154341322.

22314345102140 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22314345102140³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22314345102097 and 22314345102106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10673336 + ... + 12591615.

It is an arithmetic number, because the mean of its divisors is an integer number (328315002624).

Almost surely, 2^{22314345102140} is an apocalyptic number.

22314345102140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22314345102140 is an abundant number, since it is smaller than the sum of its proper divisors (40722135401668).

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

22314345102140 is a wasteful number, since it uses less digits than its factorization.

22314345102140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23265028 (or 23265026 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 22314345102140 its reverse (4120154341322), we get a palindrome (26434499443462).

The spelling of 22314345102140 in words is "twenty-two trillion, three hundred fourteen billion, three hundred forty-five million, one hundred two thousand, one hundred forty".