361806483456 has 832 divisors, whose sum is σ = 1244801341440. Its totient is φ = 102770933760.

The previous prime is 361806483449. The next prime is 361806483503. The reversal of 361806483456 is 654384608163.

361806483456 is a `hidden beast` number, since 3 + 6 + 180 + 6 + 4 + 8 + 3 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1874644896 + ... + 1874645088.

Almost surely, 2^361806483456 is an apocalyptic number.

361806483456 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 361806483456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622400670720).

361806483456 is an abundant number, since it is smaller than the sum of its proper divisors (882994857984).

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

361806483456 is a wasteful number, since it uses less digits than its factorization.

361806483456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 361806483456 in words is "three hundred sixty-one billion, eight hundred six million, four hundred eighty-three thousand, four hundred fifty-six".