384302810745 has 120 divisors (see below), whose sum is σ = 812352330504. Its totient is φ = 173274038784.

The previous prime is 384302810693. The next prime is 384302810779. The reversal of 384302810745 is 547018203483.

It can be written as a sum of positive squares in 4 ways, for example, as 236298384 + 384066512361 = 15372^2 + 619731^2 .

It is not a de Polignac number, because 384302810745 - 2¹⁵ = 384302777977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 384302810745.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1316047 + ... + 1581323.

Almost surely, 2^384302810745 is an apocalyptic number.

384302810745 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

384302810745 is an abundant number, since it is smaller than the sum of its proper divisors (428049519759).

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

384302810745 is a wasteful number, since it uses less digits than its factorization.

384302810745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265381 (or 265365 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 384302810745 in words is "three hundred eighty-four billion, three hundred two million, eight hundred ten thousand, seven hundred forty-five".