381682469952 has 448 divisors, whose sum is σ = 1313224704000. Its totient is φ = 106441426944.

The previous prime is 381682469923. The next prime is 381682469989. The reversal of 381682469952 is 259964286183.

381682469952 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 82 + 469 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 381682469952.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289371949 + ... + 289373267.

Almost surely, 2^381682469952 is an apocalyptic number.

381682469952 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 381682469952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656612352000).

381682469952 is an abundant number, since it is smaller than the sum of its proper divisors (931542234048).

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

381682469952 is a wasteful number, since it uses less digits than its factorization.

381682469952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1887 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 381682469952 in words is "three hundred eighty-one billion, six hundred eighty-two million, four hundred sixty-nine thousand, nine hundred fifty-two".