361893600731304 has 256 divisors, whose sum is σ = 1018479824352000. Its totient is φ = 119050145280000.

The previous prime is 361893600731233. The next prime is 361893600731323. The reversal of 361893600731304 is 403137006398163.

It is a happy number.

361893600731304 is a `hidden beast` number, since 3 + 6 + 1 + 89 + 360 + 0 + 73 + 130 + 4 = 666.

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

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, 29419845954 + ... + 29419858254.

It is an arithmetic number, because the mean of its divisors is an integer number (3978436813875).

Almost surely, 2^{361893600731304} 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 361893600731304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509239912176000).

361893600731304 is an abundant number, since it is smaller than the sum of its proper divisors (656586223620696).

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

361893600731304 is a wasteful number, since it uses less digits than its factorization.

361893600731304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15177 (or 15167 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 361893600731304 in words is "three hundred sixty-one trillion, eight hundred ninety-three billion, six hundred million, seven hundred thirty-one thousand, three hundred four".