382253727744 has 612 divisors, whose sum is σ = 1320826584064. Its totient is φ = 108355387392.

The previous prime is 382253727727. The next prime is 382253727767. The reversal of 382253727744 is 447727352283.

382253727744 is a `hidden beast` number, since 3 + 8 + 225 + 372 + 7 + 7 + 44 = 666.

It is a super-2 number, since 2×382253727744² (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 nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3009871809 + ... + 3009871935.

Almost surely, 2^382253727744 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 382253727744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660413292032).

382253727744 is an abundant number, since it is smaller than the sum of its proper divisors (938572856320).

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

382253727744 is an frugal number, since it uses more digits than its factorization.

382253727744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 139 counting only the distinct ones).

The product of its digits is 15805440, while the sum is 54.

The spelling of 382253727744 in words is "three hundred eighty-two billion, two hundred fifty-three million, seven hundred twenty-seven thousand, seven hundred forty-four".