361616370100 has 72 divisors (see below), whose sum is σ = 794325159936. Its totient is φ = 142880400000.

The previous prime is 361616370097. The next prime is 361616370103. The reversal of 361616370100 is 1073616163.

It is an interprime number because it is at equal distance from previous prime (361616370097) and next prime (361616370103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361616370103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4311565 + ... + 4394635.

It is an arithmetic number, because the mean of its divisors is an integer number (11032293888).

Almost surely, 2^361616370100 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 361616370100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397162579968).

361616370100 is an abundant number, since it is smaller than the sum of its proper divisors (432708789836).

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

361616370100 is a wasteful number, since it uses less digits than its factorization.

361616370100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83617 (or 83610 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

Adding to 361616370100 its reverse (1073616163), we get a palindrome (362689986263).

The spelling of 361616370100 in words is "three hundred sixty-one billion, six hundred sixteen million, three hundred seventy thousand, one hundred".