361697446656 has 1080 divisors, whose sum is σ = 1367736345360. Its totient is φ = 94225711104.

The previous prime is 361697446637. The next prime is 361697446703. The reversal of 361697446656 is 656644796163.

361697446656 is a `hidden beast` number, since 3 + 6 + 169 + 7 + 4 + 466 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 361697446593 and 361697446602.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1836027550 + ... + 1836027746.

It is an arithmetic number, because the mean of its divisors is an integer number (1266422542).

Almost surely, 2^361697446656 is an apocalyptic number.

361697446656 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 361697446656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683868172680).

361697446656 is an abundant number, since it is smaller than the sum of its proper divisors (1006038898704).

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

361697446656 is a wasteful number, since it uses less digits than its factorization.

361697446656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 361 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 361697446656 in words is "three hundred sixty-one billion, six hundred ninety-seven million, four hundred forty-six thousand, six hundred fifty-six".