361086007666176 has 1440 divisors, whose sum is σ = 1264141924613568. Its totient is φ = 102008857559040.

The previous prime is 361086007666129. The next prime is 361086007666277. The reversal of 361086007666176 is 671666700680163.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30437995221 + ... + 30438007083.

Almost surely, 2^{361086007666176} is an apocalyptic number.

361086007666176 is a gapful number since it is divisible by the number (36) 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 361086007666176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632070962306784).

361086007666176 is an abundant number, since it is smaller than the sum of its proper divisors (903055916947392).

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

361086007666176 is an equidigital number, since it uses as much as digits as its factorization.

361086007666176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11976 (or 11939 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 361086007666176 in words is "three hundred sixty-one trillion, eighty-six billion, seven million, six hundred sixty-six thousand, one hundred seventy-six".