361179176960 has 224 divisors, whose sum is σ = 992580175872. Its totient is φ = 123585822720.

The previous prime is 361179176881. The next prime is 361179176977. The reversal of 361179176960 is 69671971163.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 361179176896 and 361179176905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198122609 + ... + 198124431.

Almost surely, 2^361179176960 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 361179176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496290087936).

361179176960 is an abundant number, since it is smaller than the sum of its proper divisors (631400998912).

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

361179176960 is an equidigital number, since it uses as much as digits as its factorization.

361179176960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 56.

The spelling of 361179176960 in words is "three hundred sixty-one billion, one hundred seventy-nine million, one hundred seventy-six thousand, nine hundred sixty".