361114848 has 120 divisors (see below), whose sum is σ = 1071366912. Its totient is φ = 119314944.

The previous prime is 361114843. The next prime is 361114849. The reversal of 361114848 is 848411163.

It is a happy number.

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

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 (361114841) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 328636 + ... + 329732.

Almost surely, 2^361114848 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 361114848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535683456).

361114848 is an abundant number, since it is smaller than the sum of its proper divisors (710252064).

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

361114848 is a wasteful number, since it uses less digits than its factorization.

361114848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1229 counting only the distinct ones).

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

The square root of 361114848 is about 19003.0220754489. The cubic root of 361114848 is about 712.1122366516.

The spelling of 361114848 in words is "three hundred sixty-one million, one hundred fourteen thousand, eight hundred forty-eight".