364348816416 has 120 divisors (see below), whose sum is σ = 1153965989484. Its totient is φ = 112107317760.

The previous prime is 364348816397. The next prime is 364348816451. The reversal of 364348816416 is 614618843463.

364348816416 is a `hidden beast` number, since 36 + 434 + 8 + 8 + 164 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 364260531600 + 88284816 = 603540^2 + 9396^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 5372715 + ... + 5440106.

Almost surely, 2^364348816416 is an apocalyptic number.

364348816416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

364348816416 is an abundant number, since it is smaller than the sum of its proper divisors (789617173068).

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

364348816416 is a wasteful number, since it uses less digits than its factorization.

364348816416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10812856 (or 10812839 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 364348816416 in words is "three hundred sixty-four billion, three hundred forty-eight million, eight hundred sixteen thousand, four hundred sixteen".