161827642368 has 880 divisors, whose sum is σ = 587917789184. Its totient is φ = 43535646720.

The previous prime is 161827642357. The next prime is 161827642409. The reversal of 161827642368 is 863246728161.

It is a happy number.

161827642368 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 276 + 4 + 2 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4373720046 + ... + 4373720082.

Almost surely, 2^161827642368 is an apocalyptic number.

161827642368 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 161827642368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293958894592).

161827642368 is an abundant number, since it is smaller than the sum of its proper divisors (426090146816).

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

161827642368 is an frugal number, since it uses more digits than its factorization.

161827642368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 80 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 161827642368 in words is "one hundred sixty-one billion, eight hundred twenty-seven million, six hundred forty-two thousand, three hundred sixty-eight".