22152402173952 has 252 divisors, whose sum is σ = 66366776090160. Its totient is φ = 7384049123328.

The previous prime is 22152402173833. The next prime is 22152402173987. The reversal of 22152402173952 is 25937120425122.

22152402173952 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 2 + 40 + 217 + 395 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22152402173898 and 22152402173907.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254760499 + ... + 254847437.

It is an arithmetic number, because the mean of its divisors is an integer number (263360222580).

Almost surely, 2^{22152402173952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22152402173952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33183388045080).

22152402173952 is an abundant number, since it is smaller than the sum of its proper divisors (44214373916208).

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

22152402173952 is an frugal number, since it uses more digits than its factorization.

22152402173952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86994 (or 86944 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 22152402173952 in words is "twenty-two trillion, one hundred fifty-two billion, four hundred two million, one hundred seventy-three thousand, nine hundred fifty-two".