997919292384 has 240 divisors, whose sum is σ = 3356364211200. Its totient is φ = 284928834816.

The previous prime is 997919292317. The next prime is 997919292449. The reversal of 997919292384 is 483292919799.

997919292384 is a `hidden beast` number, since 9 + 9 + 79 + 1 + 92 + 92 + 384 = 666.

It is a super-2 number, since 2×997919292384² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28268857 + ... + 28304135.

It is an arithmetic number, because the mean of its divisors is an integer number (13984850880).

Almost surely, 2^997919292384 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 997919292384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678182105600).

997919292384 is an abundant number, since it is smaller than the sum of its proper divisors (2358444918816).

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

997919292384 is a wasteful number, since it uses less digits than its factorization.

997919292384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36867 (or 36850 counting only the distinct ones).

The product of its digits is 158723712, while the sum is 72.

The spelling of 997919292384 in words is "nine hundred ninety-seven billion, nine hundred nineteen million, two hundred ninety-two thousand, three hundred eighty-four".