22912441998138 has 1152 divisors, whose sum is σ = 71315012321280. Its totient is φ = 5379337656000.

The previous prime is 22912441998137. The next prime is 22912441998179. The reversal of 22912441998138 is 83189914421922.

22912441998138 is a `hidden beast` number, since 2 + 2 + 9 + 124 + 419 + 98 + 1 + 3 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (17915904) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (22912441998137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 322710450643 + ... + 322710450713.

It is an arithmetic number, because the mean of its divisors is an integer number (61905392640).

Almost surely, 2^{22912441998138} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22912441998138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35657506160640).

22912441998138 is an abundant number, since it is smaller than the sum of its proper divisors (48402570323142).

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

22912441998138 is an frugal number, since it uses more digits than its factorization.

22912441998138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 144 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 22912441998138 in words is "twenty-two trillion, nine hundred twelve billion, four hundred forty-one million, nine hundred ninety-eight thousand, one hundred thirty-eight".