362849148497904 has 160 divisors (see below), whose sum is σ = 986361002188800. Its totient is φ = 114783768852480.

The previous prime is 362849148497903. The next prime is 362849148497909. The reversal of 362849148497904 is 409794841948263.

It is a self number, because there is not a number n which added to its sum of digits gives 362849148497904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (362849148497903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17124684 + ... + 31921044.

It is an arithmetic number, because the mean of its divisors is an integer number (6164756263680).

Almost surely, 2^{362849148497904} 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 362849148497904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493180501094400).

362849148497904 is an abundant number, since it is smaller than the sum of its proper divisors (623511853690896).

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

362849148497904 is a wasteful number, since it uses less digits than its factorization.

362849148497904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14796703 (or 14796697 counting only the distinct ones).

The product of its (nonzero) digits is 3009871872, while the sum is 78.

The spelling of 362849148497904 in words is "three hundred sixty-two trillion, eight hundred forty-nine billion, one hundred forty-eight million, four hundred ninety-seven thousand, nine hundred four".