161153935488 has 768 divisors, whose sum is σ = 624035543040. Its totient is φ = 38698352640.

The previous prime is 161153935487. The next prime is 161153935507. The reversal of 161153935488 is 884539351161.

161153935488 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 5 + 3 + 93 + 548 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (161153935487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55245006 + ... + 55247922.

It is an arithmetic number, because the mean of its divisors is an integer number (812546280).

Almost surely, 2^161153935488 is an apocalyptic number.

161153935488 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 161153935488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312017771520).

161153935488 is an abundant number, since it is smaller than the sum of its proper divisors (462881607552).

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

161153935488 is a wasteful number, since it uses less digits than its factorization.

161153935488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005 (or 2990 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 161153935488 in words is "one hundred sixty-one billion, one hundred fifty-three million, nine hundred thirty-five thousand, four hundred eighty-eight".