161848627200 has 1560 divisors, whose sum is σ = 688227478400. Its totient is φ = 37265080320.

The previous prime is 161848627151. The next prime is 161848627243. The reversal of 161848627200 is 2726848161.

161848627200 is a `hidden beast` number, since 1 + 6 + 18 + 4 + 8 + 627 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2048716761 + ... + 2048716839.

Almost surely, 2^161848627200 is an apocalyptic number.

161848627200 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 161848627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344113739200).

161848627200 is an abundant number, since it is smaller than the sum of its proper divisors (526378851200).

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

161848627200 is a wasteful number, since it uses less digits than its factorization.

161848627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 161848627200 in words is "one hundred sixty-one billion, eight hundred forty-eight million, six hundred twenty-seven thousand, two hundred".