161018282880 has 768 divisors, whose sum is σ = 687417494400. Its totient is φ = 33819918336.

The previous prime is 161018282879. The next prime is 161018282881. The reversal of 161018282880 is 88282810161.

161018282880 is a `hidden beast` number, since 1 + 610 + 1 + 8 + 2 + 8 + 28 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (161018282879) and next prime (161018282881).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161018282881) 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, 145191766 + ... + 145192874.

Almost surely, 2^161018282880 is an apocalyptic number.

161018282880 is a gapful number since it is divisible by the number (10) 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 161018282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343708747200).

161018282880 is an abundant number, since it is smaller than the sum of its proper divisors (526399211520).

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

161018282880 is a wasteful number, since it uses less digits than its factorization.

161018282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 45.

The spelling of 161018282880 in words is "one hundred sixty-one billion, eighteen million, two hundred eighty-two thousand, eight hundred eighty".