361393643520 has 2352 divisors, whose sum is σ = 1714737835440. Its totient is φ = 72236924928.

The previous prime is 361393643519. The next prime is 361393643549. The reversal of 361393643520 is 25346393163.

361393643520 is a `hidden beast` number, since 3 + 61 + 3 + 9 + 3 + 64 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 167 ways as a sum of consecutive naturals, for example, 19020718071 + ... + 19020718089.

Almost surely, 2^361393643520 is an apocalyptic number.

361393643520 is a gapful number since it is divisible by the number (30) 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 361393643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857368917720).

361393643520 is an abundant number, since it is smaller than the sum of its proper divisors (1353344191920).

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

361393643520 is an equidigital number, since it uses as much as digits as its factorization.

361393643520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 361393643520 in words is "three hundred sixty-one billion, three hundred ninety-three million, six hundred forty-three thousand, five hundred twenty".