161138331144 has 192 divisors, whose sum is σ = 502370519040. Its totient is φ = 45707397120.

The previous prime is 161138331119. The next prime is 161138331209. The reversal of 161138331144 is 441133831161.

161138331144 is a `hidden beast` number, since 1 + 611 + 3 + 8 + 3 + 31 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 161138331099 and 161138331108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59393532 + ... + 59396244.

It is an arithmetic number, because the mean of its divisors is an integer number (2616513120).

Almost surely, 2^161138331144 is an apocalyptic number.

161138331144 is a gapful number since it is divisible by the number (14) 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 161138331144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251185259520).

161138331144 is an abundant number, since it is smaller than the sum of its proper divisors (341232187896).

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

161138331144 is a wasteful number, since it uses less digits than its factorization.

161138331144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 3533 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 161138331144 in words is "one hundred sixty-one billion, one hundred thirty-eight million, three hundred thirty-one thousand, one hundred forty-four".