361122410088 has 288 divisors, whose sum is σ = 1098999982080. Its totient is φ = 107016940800.

The previous prime is 361122410057. The next prime is 361122410111. The reversal of 361122410088 is 880014221163.

361122410088 is a `hidden beast` number, since 3 + 611 + 2 + 24 + 10 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78553806 + ... + 78558402.

It is an arithmetic number, because the mean of its divisors is an integer number (3815972160).

Almost surely, 2^361122410088 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 361122410088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549499991040).

361122410088 is an abundant number, since it is smaller than the sum of its proper divisors (737877571992).

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

361122410088 is a wasteful number, since it uses less digits than its factorization.

361122410088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 361122410088 in words is "three hundred sixty-one billion, one hundred twenty-two million, four hundred ten thousand, eighty-eight".