162126091008 has 432 divisors, whose sum is σ = 544109529600. Its totient is φ = 45473218560.

The previous prime is 162126090967. The next prime is 162126091033. The reversal of 162126091008 is 800190621261.

162126091008 is a `hidden beast` number, since 1 + 621 + 26 + 0 + 9 + 1 + 0 + 0 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256934853 + ... + 256935483.

It is an arithmetic number, because the mean of its divisors is an integer number (1259512800).

Almost surely, 2^162126091008 is an apocalyptic number.

162126091008 is a gapful number since it is divisible by the number (18) 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 162126091008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272054764800).

162126091008 is an abundant number, since it is smaller than the sum of its proper divisors (381983438592).

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

162126091008 is a wasteful number, since it uses less digits than its factorization.

162126091008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 162126091008 in words is "one hundred sixty-two billion, one hundred twenty-six million, ninety-one thousand, eight".