22145930314020 has 192 divisors, whose sum is σ = 69254734080000. Its totient is φ = 5875051450752.

The previous prime is 22145930313967. The next prime is 22145930314031. The reversal of 22145930314020 is 2041303954122.

22145930314020 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 593 + 0 + 3 + 1 + 40 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1152283971 + ... + 1152303189.

It is an arithmetic number, because the mean of its divisors is an integer number (360701740000).

Almost surely, 2^{22145930314020} is an apocalyptic number.

22145930314020 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 22145930314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34627367040000).

22145930314020 is an abundant number, since it is smaller than the sum of its proper divisors (47108803765980).

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

22145930314020 is a wasteful number, since it uses less digits than its factorization.

22145930314020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30159 (or 30151 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 22145930314020 in words is "twenty-two trillion, one hundred forty-five billion, nine hundred thirty million, three hundred fourteen thousand, twenty".