361290682368 has 1872 divisors, whose sum is σ = 1490303304000. Its totient is φ = 85837086720.

The previous prime is 361290682303. The next prime is 361290682391. The reversal of 361290682368 is 863286092163.

361290682368 is a `hidden beast` number, since 3 + 61 + 290 + 68 + 236 + 8 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12458299378 + ... + 12458299406.

Almost surely, 2^361290682368 is an apocalyptic number.

361290682368 is a gapful number since it is divisible by the number (38) 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 361290682368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745151652000).

361290682368 is an abundant number, since it is smaller than the sum of its proper divisors (1129012621632).

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

361290682368 is a wasteful number, since it uses less digits than its factorization.

361290682368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 361290682368 in words is "three hundred sixty-one billion, two hundred ninety million, six hundred eighty-two thousand, three hundred sixty-eight".