161233890048 has 1296 divisors, whose sum is σ = 631953372960. Its totient is φ = 39341998080.

The previous prime is 161233890029. The next prime is 161233890067. The reversal of 161233890048 is 840098332161.

It is an interprime number because it is at equal distance from previous prime (161233890029) and next prime (161233890067).

It is a junction number, because it is equal to n+sod(n) for n = 161233889985 and 161233890012.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4357672686 + ... + 4357672722.

Almost surely, 2^161233890048 is an apocalyptic number.

161233890048 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 161233890048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315976686480).

161233890048 is an abundant number, since it is smaller than the sum of its proper divisors (470719482912).

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

161233890048 is a wasteful number, since it uses less digits than its factorization.

161233890048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 161233890048 in words is "one hundred sixty-one billion, two hundred thirty-three million, eight hundred ninety thousand, forty-eight".