161046561040 has 80 divisors (see below), whose sum is σ = 396609851952. Its totient is φ = 60606185472.

The previous prime is 161046561037. The next prime is 161046561043. The reversal of 161046561040 is 40165640161.

It is an interprime number because it is at equal distance from previous prime (161046561037) and next prime (161046561043).

It can be written as a sum of positive squares in 8 ways, for example, as 22018998544 + 139027562496 = 148388^2 + 372864^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 161046560987 and 161046561005.

It is not an unprimeable number, because it can be changed into a prime (161046561043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3782752 + ... + 3825088.

Almost surely, 2^161046561040 is an apocalyptic number.

161046561040 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 161046561040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198304925976).

161046561040 is an abundant number, since it is smaller than the sum of its proper divisors (235563290912).

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

161046561040 is a wasteful number, since it uses less digits than its factorization.

161046561040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45164 (or 45158 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 161046561040 in words is "one hundred sixty-one billion, forty-six million, five hundred sixty-one thousand, forty".