361581140160 has 448 divisors, whose sum is σ = 1294088140800. Its totient is φ = 95029862400.

The previous prime is 361581140153. The next prime is 361581140177. The reversal of 361581140160 is 61041185163.

It is a happy number.

361581140160 is a `hidden beast` number, since 3 + 6 + 1 + 581 + 14 + 0 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 331421215 + ... + 331422305.

It is an arithmetic number, because the mean of its divisors is an integer number (2888589600).

Almost surely, 2^361581140160 is an apocalyptic number.

361581140160 is a gapful number since it is divisible by the number (30) 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 361581140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647044070400).

361581140160 is an abundant number, since it is smaller than the sum of its proper divisors (932507000640).

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

361581140160 is a wasteful number, since it uses less digits than its factorization.

361581140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 361581140160 in words is "three hundred sixty-one billion, five hundred eighty-one million, one hundred forty thousand, one hundred sixty".