22950034128 has 320 divisors, whose sum is σ = 76655808000. Its totient is φ = 6438998016.

The previous prime is 22950034103. The next prime is 22950034147. The reversal of 22950034128 is 82143005922.

It is a happy number.

22950034128 is a `hidden beast` number, since 2 + 29 + 500 + 3 + 4 + 128 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22950034092 and 22950034101.

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, 72397426 + ... + 72397742.

It is an arithmetic number, because the mean of its divisors is an integer number (239549400).

Almost surely, 2^22950034128 is an apocalyptic number.

22950034128 is a gapful number since it is divisible by the number (28) 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 22950034128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38327904000).

22950034128 is an abundant number, since it is smaller than the sum of its proper divisors (53705773872).

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

22950034128 is a wasteful number, since it uses less digits than its factorization.

22950034128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 22950034128 in words is "twenty-two billion, nine hundred fifty million, thirty-four thousand, one hundred twenty-eight".