361134130896 has 720 divisors, whose sum is σ = 1353958519680. Its totient is φ = 88675614720.

The previous prime is 361134130891. The next prime is 361134130909. The reversal of 361134130896 is 698031431163.

It is a happy number.

361134130896 is a `hidden beast` number, since 36 + 113 + 413 + 0 + 8 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361134130891) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 158878816 + ... + 158881088.

It is an arithmetic number, because the mean of its divisors is an integer number (1880497944).

Almost surely, 2^361134130896 is an apocalyptic number.

361134130896 is a gapful number since it is divisible by the number (36) 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 361134130896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676979259840).

361134130896 is an abundant number, since it is smaller than the sum of its proper divisors (992824388784).

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

361134130896 is a wasteful number, since it uses less digits than its factorization.

361134130896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 361134130896 in words is "three hundred sixty-one billion, one hundred thirty-four million, one hundred thirty thousand, eight hundred ninety-six".