382964249052 has 768 divisors, whose sum is σ = 1377511833600. Its totient is φ = 90069408000.

The previous prime is 382964249021. The next prime is 382964249053. The reversal of 382964249052 is 250942469283.

382964249052 is a `hidden beast` number, since 3 + 82 + 9 + 6 + 424 + 90 + 52 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 382964249052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382964249053) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 294360802 + ... + 294362102.

It is an arithmetic number, because the mean of its divisors is an integer number (1793635200).

Almost surely, 2^382964249052 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 382964249052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688755916800).

382964249052 is an abundant number, since it is smaller than the sum of its proper divisors (994547584548).

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

382964249052 is a wasteful number, since it uses less digits than its factorization.

382964249052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 382964249052 in words is "three hundred eighty-two billion, nine hundred sixty-four million, two hundred forty-nine thousand, fifty-two".