361573670803968 has 1280 divisors, whose sum is σ = 1290112078970880. Its totient is φ = 97820835840000.

The previous prime is 361573670803949. The next prime is 361573670803979. The reversal of 361573670803968 is 869308076375163.

361573670803968 is a `hidden beast` number, since 3 + 6 + 157 + 3 + 6 + 7 + 0 + 80 + 396 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 361573670803896 and 361573670803905.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27811213468 + ... + 27811226468.

It is an arithmetic number, because the mean of its divisors is an integer number (1007900061696).

Almost surely, 2^{361573670803968} 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 361573670803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645056039485440).

361573670803968 is an abundant number, since it is smaller than the sum of its proper divisors (928538408166912).

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

361573670803968 is a wasteful number, since it uses less digits than its factorization.

361573670803968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13266 (or 13244 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 361573670803968 in words is "three hundred sixty-one trillion, five hundred seventy-three billion, six hundred seventy million, eight hundred three thousand, nine hundred sixty-eight".