382748091264 has 1024 divisors, whose sum is σ = 1454112000000. Its totient is φ = 98246615040.

The previous prime is 382748091263. The next prime is 382748091269. The reversal of 382748091264 is 462190847283.

382748091264 is a `hidden beast` number, since 38 + 2 + 7 + 480 + 9 + 126 + 4 = 666.

It is a super-2 number, since 2×382748091264² (a number of 24 digits) contains 22 as substring.

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 382748091264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382748091263) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1942883614 + ... + 1942883810.

It is an arithmetic number, because the mean of its divisors is an integer number (1420031250).

Almost surely, 2^382748091264 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 382748091264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727056000000).

382748091264 is an abundant number, since it is smaller than the sum of its proper divisors (1071363908736).

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

382748091264 is a wasteful number, since it uses less digits than its factorization.

382748091264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 382748091264 in words is "three hundred eighty-two billion, seven hundred forty-eight million, ninety-one thousand, two hundred sixty-four".