381517750944 has 288 divisors, whose sum is σ = 1262582576640. Its totient is φ = 111881088000.

The previous prime is 381517750921. The next prime is 381517750949. The reversal of 381517750944 is 449057715183.

381517750944 is a `hidden beast` number, since 3 + 81 + 5 + 17 + 7 + 509 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×381517750944² (a number of 24 digits) contains 22 as substring.

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 (381517750949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3182004 + ... + 3299724.

It is an arithmetic number, because the mean of its divisors is an integer number (4383967280).

Almost surely, 2^381517750944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381517750944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631291288320).

381517750944 is an abundant number, since it is smaller than the sum of its proper divisors (881064825696).

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

381517750944 is a wasteful number, since it uses less digits than its factorization.

381517750944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117793 (or 117768 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 381517750944 in words is "three hundred eighty-one billion, five hundred seventeen million, seven hundred fifty thousand, nine hundred forty-four".