382474028449152 has 192 divisors, whose sum is σ = 1141528141026000. Its totient is φ = 127473918511104.

The previous prime is 382474028449057. The next prime is 382474028449327. The reversal of 382474028449152 is 251944820474283.

382474028449152 is a `hidden beast` number, since 3 + 8 + 2 + 4 + 74 + 0 + 28 + 4 + 491 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 382474028449152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227746678 + ... + 229419914.

Almost surely, 2^{382474028449152} is an apocalyptic number.

382474028449152 is a gapful number since it is divisible by the number (32) 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 382474028449152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570764070513000).

382474028449152 is an abundant number, since it is smaller than the sum of its proper divisors (759054112576848).

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

382474028449152 is an equidigital number, since it uses as much as digits as its factorization.

382474028449152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680615 (or 1680591 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 382474028449152 in words is "three hundred eighty-two trillion, four hundred seventy-four billion, twenty-eight million, four hundred forty-nine thousand, one hundred fifty-two".