161249702227200 has 864 divisors, whose sum is σ = 627413731701120. Its totient is φ = 40383509299200.

The previous prime is 161249702227121. The next prime is 161249702227231. The reversal of 161249702227200 is 2722207942161.

161249702227200 is a `hidden beast` number, since 1 + 612 + 4 + 9 + 7 + 0 + 2 + 2 + 2 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 1371800430 + ... + 1371917970.

It is an arithmetic number, because the mean of its divisors is an integer number (726173300580).

Almost surely, 2^{161249702227200} is an apocalyptic number.

161249702227200 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 161249702227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313706865850560).

161249702227200 is an abundant number, since it is smaller than the sum of its proper divisors (466164029473920).

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

161249702227200 is a wasteful number, since it uses less digits than its factorization.

161249702227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118060 (or 118035 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 161249702227200 in words is "one hundred sixty-one trillion, two hundred forty-nine billion, seven hundred two million, two hundred twenty-seven thousand, two hundred".