161315648 has 56 divisors (see below), whose sum is σ = 353217480. Its totient is φ = 72622080.

The previous prime is 161315647. The next prime is 161315653. The reversal of 161315648 is 846513161.

161315648 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25080064 + 136235584 = 5008^2 + 11672^2 .

It is a super-3 number, since 3×161315648³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161315647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31748 + ... + 36476.

It is an arithmetic number, because the mean of its divisors is an integer number (6307455).

Almost surely, 2^161315648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161315648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176608740).

161315648 is an abundant number, since it is smaller than the sum of its proper divisors (191901832).

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

161315648 is a wasteful number, since it uses less digits than its factorization.

161315648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4795 (or 4785 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 161315648 is about 12701.0097236401. The cubic root of 161315648 is about 544.3674708648.

The spelling of 161315648 in words is "one hundred sixty-one million, three hundred fifteen thousand, six hundred forty-eight".