363434413248 has 140 divisors (see below), whose sum is σ = 1087218938080. Its totient is φ = 120033197568.

The previous prime is 363434413241. The next prime is 363434413271. The reversal of 363434413248 is 842314434363.

363434413248 is a `hidden beast` number, since 3 + 63 + 4 + 344 + 1 + 3 + 248 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (363434413241) 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, 243465 + ... + 886647.

Almost surely, 2^363434413248 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 363434413248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543609469040).

363434413248 is an abundant number, since it is smaller than the sum of its proper divisors (723784524832).

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

363434413248 is a wasteful number, since it uses less digits than its factorization.

363434413248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643316 (or 643297 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 45.

The spelling of 363434413248 in words is "three hundred sixty-three billion, four hundred thirty-four million, four hundred thirteen thousand, two hundred forty-eight".