381351179664 has 540 divisors, whose sum is σ = 1352126260836. Its totient is φ = 99994632192.

The previous prime is 381351179653. The next prime is 381351179669. The reversal of 381351179664 is 466971153183.

381351179664 is a `hidden beast` number, since 38 + 1 + 3 + 511 + 7 + 96 + 6 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 128350227600 + 253000952064 = 358260^2 + 502992^2 .

It is a super-2 number, since 2×381351179664² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 381351179664.

It is not an unprimeable number, because it can be changed into a prime (381351179669) 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 107 ways as a sum of consecutive naturals, for example, 230144724 + ... + 230146380.

Almost surely, 2^381351179664 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 381351179664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676063130418).

381351179664 is an abundant number, since it is smaller than the sum of its proper divisors (970775081172).

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

381351179664 is a wasteful number, since it uses less digits than its factorization.

381351179664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1875 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 381351179664 in words is "three hundred eighty-one billion, three hundred fifty-one million, one hundred seventy-nine thousand, six hundred sixty-four".