998405401356 has 96 divisors (see below), whose sum is σ = 2824760655360. Its totient is φ = 302441256000.

The previous prime is 998405401267. The next prime is 998405401403. The reversal of 998405401356 is 653104504899.

998405401356 is a `hidden beast` number, since 9 + 9 + 8 + 40 + 540 + 1 + 3 + 56 = 666.

998405401356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3284206 + ... + 3575306.

It is an arithmetic number, because the mean of its divisors is an integer number (29424590160).

Almost surely, 2^998405401356 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 998405401356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412380327680).

998405401356 is an abundant number, since it is smaller than the sum of its proper divisors (1826355254004).

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

998405401356 is a wasteful number, since it uses less digits than its factorization.

998405401356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294012 (or 294004 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 998405401356 in words is "nine hundred ninety-eight billion, four hundred five million, four hundred one thousand, three hundred fifty-six".