22273122940992 has 1008 divisors, whose sum is σ = 84344830682112. Its totient is φ = 5762659230720.

The previous prime is 22273122940979. The next prime is 22273122940993. The reversal of 22273122940992 is 29904922137222.

22273122940992 is a `hidden beast` number, since 2 + 2 + 2 + 7 + 3 + 1 + 229 + 409 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (22273122940993) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2204599813 + ... + 2204609915.

It is an arithmetic number, because the mean of its divisors is an integer number (83675427264).

Almost surely, 2^{22273122940992} is an apocalyptic number.

22273122940992 is a gapful number since it is divisible by the number (22) 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 22273122940992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42172415341056).

22273122940992 is an abundant number, since it is smaller than the sum of its proper divisors (62071707741120).

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

22273122940992 is a wasteful number, since it uses less digits than its factorization.

22273122940992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10418 (or 10389 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 22273122940992 in words is "twenty-two trillion, two hundred seventy-three billion, one hundred twenty-two million, nine hundred forty thousand, nine hundred ninety-two".