1018328141376 has 672 divisors, whose sum is σ = 3730459392000. Its totient is φ = 266710579200.

The previous prime is 1018328141371. The next prime is 1018328141393. The reversal of 1018328141376 is 6731418238101.

1018328141376 is a `hidden beast` number, since 10 + 1 + 83 + 2 + 81 + 413 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (1018328141371) 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 95 ways as a sum of consecutive naturals, for example, 308676175 + ... + 308679473.

Almost surely, 2^{1018328141376} is an apocalyptic number.

1018328141376 is a gapful number since it is divisible by the number (16) 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 1018328141376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865229696000).

1018328141376 is an abundant number, since it is smaller than the sum of its proper divisors (2712131250624).

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

1018328141376 is a wasteful number, since it uses less digits than its factorization.

1018328141376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1018328141376 in words is "one trillion, eighteen billion, three hundred twenty-eight million, one hundred forty-one thousand, three hundred seventy-six".