161886186144 has 384 divisors, whose sum is σ = 510739810560. Its totient is φ = 49700044800.

The previous prime is 161886186131. The next prime is 161886186151. The reversal of 161886186144 is 441681688161.

161886186144 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 8 + 6 + 18 + 614 + 4 = 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251766687 + ... + 251767329.

It is an arithmetic number, because the mean of its divisors is an integer number (1330051590).

Almost surely, 2^161886186144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161886186144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255369905280).

161886186144 is an abundant number, since it is smaller than the sum of its proper divisors (348853624416).

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

161886186144 is a wasteful number, since it uses less digits than its factorization.

161886186144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1007 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The spelling of 161886186144 in words is "one hundred sixty-one billion, eight hundred eighty-six million, one hundred eighty-six thousand, one hundred forty-four".