381432946752 has 448 divisors, whose sum is σ = 1337101516800. Its totient is φ = 105097512960.

The previous prime is 381432946711. The next prime is 381432946753. The reversal of 381432946752 is 257649234183.

381432946752 is a `hidden beast` number, since 38 + 143 + 2 + 9 + 467 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (381432946753) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16544449 + ... + 16567487.

It is an arithmetic number, because the mean of its divisors is an integer number (2984601600).

Almost surely, 2^381432946752 is an apocalyptic number.

381432946752 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 381432946752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668550758400).

381432946752 is an abundant number, since it is smaller than the sum of its proper divisors (955668570048).

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

381432946752 is a wasteful number, since it uses less digits than its factorization.

381432946752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23151 (or 23135 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 381432946752 in words is "three hundred eighty-one billion, four hundred thirty-two million, nine hundred forty-six thousand, seven hundred fifty-two".