162251104140 has 288 divisors, whose sum is σ = 518364100800. Its totient is φ = 41023825920.

The previous prime is 162251104139. The next prime is 162251104153. The reversal of 162251104140 is 41401152261.

162251104140 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 511 + 0 + 4 + 140 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78419026 + ... + 78421094.

It is an arithmetic number, because the mean of its divisors is an integer number (1799875350).

Almost surely, 2^162251104140 is an apocalyptic number.

162251104140 is a gapful number since it is divisible by the number (10) 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 162251104140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259182050400).

162251104140 is an abundant number, since it is smaller than the sum of its proper divisors (356112996660).

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

162251104140 is a wasteful number, since it uses less digits than its factorization.

162251104140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 162251104140 in words is "one hundred sixty-two billion, two hundred fifty-one million, one hundred four thousand, one hundred forty".