161148532905360 has 3200 divisors, whose sum is σ = 761815640678400. Its totient is φ = 30487493836800.

The previous prime is 161148532905341. The next prime is 161148532905413. The reversal of 161148532905360 is 63509235841161.

161148532905360 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 4 + 85 + 3 + 29 + 0 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 161148532905297 and 161148532905306.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 169096046644 + ... + 169096047596.

It is an arithmetic number, because the mean of its divisors is an integer number (238067387712).

Almost surely, 2^{161148532905360} is an apocalyptic number.

161148532905360 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 161148532905360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380907820339200).

161148532905360 is an abundant number, since it is smaller than the sum of its proper divisors (600667107773040).

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

161148532905360 is a wasteful number, since it uses less digits than its factorization.

161148532905360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 161148532905360 in words is "one hundred sixty-one trillion, one hundred forty-eight billion, five hundred thirty-two million, nine hundred five thousand, three hundred sixty".