252226662162000 has 160 divisors (see below), whose sum is σ = 813622911538944. Its totient is φ = 67223706048000.

The previous prime is 252226662161987. The next prime is 252226662162061. The reversal of 252226662162000 is 261266622252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493459 + ... + 22465458.

Almost surely, 2^{252226662162000} is an apocalyptic number.

252226662162000 is a gapful number since it is divisible by the number (20) 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 252226662162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406811455769472).

252226662162000 is an abundant number, since it is smaller than the sum of its proper divisors (561396249376944).

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

252226662162000 is a wasteful number, since it uses less digits than its factorization.

252226662162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22960774 (or 22960758 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 252226662162000 in words is "two hundred fifty-two trillion, two hundred twenty-six billion, six hundred sixty-two million, one hundred sixty-two thousand".