1018993930416 has 240 divisors, whose sum is σ = 3590657111808. Its totient is φ = 262052928000.

The previous prime is 1018993930397. The next prime is 1018993930439. The reversal of 1018993930416 is 6140393998101.

1018993930416 is a `hidden beast` number, since 10 + 189 + 9 + 3 + 9 + 30 + 416 = 666.

It is an unprimeable number.

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, 664935 + ... + 1574841.

Almost surely, 2^{1018993930416} is an apocalyptic number.

1018993930416 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 1018993930416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795328555904).

1018993930416 is an abundant number, since it is smaller than the sum of its proper divisors (2571663181392).

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

1018993930416 is a wasteful number, since it uses less digits than its factorization.

1018993930416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910040 (or 910031 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 1018993930416 in words is "one trillion, eighteen billion, nine hundred ninety-three million, nine hundred thirty thousand, four hundred sixteen".