361814912729088 has 544 divisors, whose sum is σ = 1194780858786816. Its totient is φ = 94837527281664.

The previous prime is 361814912729069. The next prime is 361814912729113. The reversal of 361814912729088 is 880927219418163.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2916224431 + ... + 2916348497.

Almost surely, 2^{361814912729088} 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 361814912729088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597390429393408).

361814912729088 is an abundant number, since it is smaller than the sum of its proper divisors (832965946057728).

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

361814912729088 is a wasteful number, since it uses less digits than its factorization.

361814912729088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124285 (or 124255 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 69.

The spelling of 361814912729088 in words is "three hundred sixty-one trillion, eight hundred fourteen billion, nine hundred twelve million, seven hundred twenty-nine thousand, eighty-eight".