361116461244 has 144 divisors (see below), whose sum is σ = 1058936143104. Its totient is φ = 93755988480.

The previous prime is 361116461161. The next prime is 361116461249. The reversal of 361116461244 is 442164611163.

361116461244 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361116461249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28890004 + ... + 28902500.

It is an arithmetic number, because the mean of its divisors is an integer number (7353723216).

Almost surely, 2^361116461244 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 361116461244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529468071552).

361116461244 is an abundant number, since it is smaller than the sum of its proper divisors (697819681860).

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

361116461244 is a wasteful number, since it uses less digits than its factorization.

361116461244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15376 (or 15363 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The spelling of 361116461244 in words is "three hundred sixty-one billion, one hundred sixteen million, four hundred sixty-one thousand, two hundred forty-four".