161147724480 has 392 divisors, whose sum is σ = 577435992192. Its totient is φ = 42816024576.

The previous prime is 161147724449. The next prime is 161147724497. The reversal of 161147724480 is 84427741161.

161147724480 is a `hidden beast` number, since 1 + 6 + 1 + 147 + 7 + 24 + 480 = 666.

161147724480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 73015537 + ... + 73017743.

Almost surely, 2^161147724480 is an apocalyptic number.

161147724480 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 161147724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288717996096).

161147724480 is an abundant number, since it is smaller than the sum of its proper divisors (416288267712).

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

161147724480 is an equidigital number, since it uses as much as digits as its factorization.

161147724480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 161147724480 in words is "one hundred sixty-one billion, one hundred forty-seven million, seven hundred twenty-four thousand, four hundred eighty".