361442135900160 has 4032 divisors, whose sum is σ = 1605478420611072. Its totient is φ = 76282192723968.

The previous prime is 361442135900113. The next prime is 361442135900267. The reversal of 361442135900160 is 61009531244163.

361442135900160 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 42 + 1 + 3 + 590 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2846001070017 + ... + 2846001070143.

It is an arithmetic number, because the mean of its divisors is an integer number (398184132096).

Almost surely, 2^{361442135900160} is an apocalyptic number.

361442135900160 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 361442135900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802739210305536).

361442135900160 is an abundant number, since it is smaller than the sum of its proper divisors (1244036284710912).

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

361442135900160 is an frugal number, since it uses more digits than its factorization.

361442135900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 361442135900160 in words is "three hundred sixty-one trillion, four hundred forty-two billion, one hundred thirty-five million, nine hundred thousand, one hundred sixty".