998247783456 has 1536 divisors, whose sum is σ = 3971358720000. Its totient is φ = 241111987200.

The previous prime is 998247783391. The next prime is 998247783479. The reversal of 998247783456 is 654387742899.

998247783456 is a `hidden beast` number, since 9 + 9 + 8 + 24 + 77 + 83 + 456 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4397567215 + ... + 4397567441.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520000).

Almost surely, 2^998247783456 is an apocalyptic number.

998247783456 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 998247783456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985679360000).

998247783456 is an abundant number, since it is smaller than the sum of its proper divisors (2973110936544).

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

998247783456 is a wasteful number, since it uses less digits than its factorization.

998247783456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 340 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 998247783456 in words is "nine hundred ninety-eight billion, two hundred forty-seven million, seven hundred eighty-three thousand, four hundred fifty-six".