361821372192 has 144 divisors (see below), whose sum is σ = 1182490021440. Its totient is φ = 102799904256.

The previous prime is 361821372173. The next prime is 361821372257. The reversal of 361821372192 is 291273128163.

It is a happy number.

361821372192 is a `hidden beast` number, since 3 + 618 + 2 + 1 + 3 + 7 + 21 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140463 + ... + 862190.

It is an arithmetic number, because the mean of its divisors is an integer number (8211736260).

Almost surely, 2^361821372192 is an apocalyptic number.

361821372192 is a gapful number since it is divisible by the number (32) 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 361821372192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591245010720).

361821372192 is an abundant number, since it is smaller than the sum of its proper divisors (820668649248).

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

361821372192 is a wasteful number, since it uses less digits than its factorization.

361821372192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002855 (or 1002844 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 361821372192 in words is "three hundred sixty-one billion, eight hundred twenty-one million, three hundred seventy-two thousand, one hundred ninety-two".