993119452416 has 1296 divisors, whose sum is σ = 3784328970240. Its totient is φ = 244552089600.

The previous prime is 993119452399. The next prime is 993119452427. The reversal of 993119452416 is 614254911399.

993119452416 is a `hidden beast` number, since 9 + 9 + 3 + 11 + 94 + 524 + 16 = 666.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 6576949941 + ... + 6576950091.

Almost surely, 2^993119452416 is an apocalyptic number.

993119452416 is a gapful number since it is divisible by the number (96) 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 993119452416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892164485120).

993119452416 is an abundant number, since it is smaller than the sum of its proper divisors (2791209517824).

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

993119452416 is a wasteful number, since it uses less digits than its factorization.

993119452416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 322 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The spelling of 993119452416 in words is "nine hundred ninety-three billion, one hundred nineteen million, four hundred fifty-two thousand, four hundred sixteen".