382048627968000 has 2688 divisors, whose sum is σ = 1729778888597760. Its totient is φ = 82183834828800.

The previous prime is 382048627967957. The next prime is 382048627968011. The reversal of 382048627968000 is 869726840283.

382048627968000 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 486 + 2 + 79 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×382048627968000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 22208247399 + ... + 22208264601.

It is an arithmetic number, because the mean of its divisors is an integer number (643518931770).

Almost surely, 2^{382048627968000} is an apocalyptic number.

382048627968000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382048627968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864889444298880).

382048627968000 is an abundant number, since it is smaller than the sum of its proper divisors (1347730260629760).

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

382048627968000 is an equidigital number, since it uses as much as digits as its factorization.

382048627968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17282 (or 17237 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 382048627968000 in words is "three hundred eighty-two trillion, forty-eight billion, six hundred twenty-seven million, nine hundred sixty-eight thousand".