381492459666432 has 440 divisors, whose sum is σ = 1147502979477360. Its totient is φ = 126241803141120.

The previous prime is 381492459666413. The next prime is 381492459666443. The reversal of 381492459666432 is 234666954294183.

It is a super-2 number, since 2×381492459666432² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 6590950132 + ... + 6591008012.

It is an arithmetic number, because the mean of its divisors is an integer number (2607961316994).

Almost surely, 2^{381492459666432} is an apocalyptic number.

381492459666432 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 381492459666432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573751489738680).

381492459666432 is an abundant number, since it is smaller than the sum of its proper divisors (766010519810928).

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

381492459666432 is a wasteful number, since it uses less digits than its factorization.

381492459666432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58489 (or 58462 counting only the distinct ones).

The product of its digits is 1612431360, while the sum is 72.

The spelling of 381492459666432 in words is "three hundred eighty-one trillion, four hundred ninety-two billion, four hundred fifty-nine million, six hundred sixty-six thousand, four hundred thirty-two".