22172293251072 has 480 divisors, whose sum is σ = 70185131475200. Its totient is φ = 6897097506816.

The previous prime is 22172293251071. The next prime is 22172293251107. The reversal of 22172293251072 is 27015239227122.

It is a happy number.

22172293251072 is a `hidden beast` number, since 2 + 2 + 17 + 2 + 29 + 32 + 510 + 72 = 666.

It is a super-2 number, since 2×22172293251072² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22172293251071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563114778 + ... + 563154150.

Almost surely, 2^{22172293251072} 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 22172293251072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35092565737600).

22172293251072 is an abundant number, since it is smaller than the sum of its proper divisors (48012838224128).

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

22172293251072 is an equidigital number, since it uses as much as digits as its factorization.

22172293251072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39496 (or 39464 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 22172293251072 in words is "twenty-two trillion, one hundred seventy-two billion, two hundred ninety-three million, two hundred fifty-one thousand, seventy-two".