361801801872 has 280 divisors, whose sum is σ = 1230457079040. Its totient is φ = 100849743360.

The previous prime is 361801801871. The next prime is 361801801901. The reversal of 361801801872 is 278108108163.

It is a happy number.

361801801872 is a `hidden beast` number, since 3 + 618 + 0 + 18 + 0 + 18 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (361801801871) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3293529 + ... + 3401607.

It is an arithmetic number, because the mean of its divisors is an integer number (4394489568).

Almost surely, 2^361801801872 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 361801801872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615228539520).

361801801872 is an abundant number, since it is smaller than the sum of its proper divisors (868655277168).

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

361801801872 is a wasteful number, since it uses less digits than its factorization.

361801801872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108153 (or 108132 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 361801801872 in words is "three hundred sixty-one billion, eight hundred one million, eight hundred one thousand, eight hundred seventy-two".