381965678501472 has 1440 divisors, whose sum is σ = 1323375358469472. Its totient is φ = 107337095184384.

The previous prime is 381965678501471. The next prime is 381965678501479. The reversal of 381965678501472 is 274105876569183.

381965678501472 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 6 + 5 + 6 + 78 + 501 + 47 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 381965678501472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381965678501471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 159617917108 + ... + 159617919500.

It is a 1-persistent number, because it is pandigital, but 2⋅381965678501472 = 763931357002944 is not.

Almost surely, 2^{381965678501472} is an apocalyptic number.

381965678501472 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 381965678501472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661687679234736).

381965678501472 is an abundant number, since it is smaller than the sum of its proper divisors (941409679968000).

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

381965678501472 is a wasteful number, since it uses less digits than its factorization.

381965678501472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 381965678501472 in words is "three hundred eighty-one trillion, nine hundred sixty-five billion, six hundred seventy-eight million, five hundred one thousand, four hundred seventy-two".