998377792461504 has 1120 divisors, whose sum is σ = 3862999821985920. Its totient is φ = 247416818761728.

The previous prime is 998377792461479. The next prime is 998377792461547. The reversal of 998377792461504 is 405164297773899.

998377792461504 is a `hidden beast` number, since 9 + 9 + 8 + 37 + 7 + 79 + 2 + 4 + 6 + 1 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

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 159 ways as a sum of consecutive naturals, for example, 4948021932 + ... + 4948223700.

It is an arithmetic number, because the mean of its divisors is an integer number (3449106983916).

It is a 2-persistent number, because it is pandigital, and so is 2⋅998377792461504 = 1996755584923008, but 3⋅998377792461504 = 2995133377384512 is not.

Almost surely, 2^{998377792461504} 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 998377792461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931499910992960).

998377792461504 is an abundant number, since it is smaller than the sum of its proper divisors (2864622029524416).

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

998377792461504 is a wasteful number, since it uses less digits than its factorization.

998377792461504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202447 (or 202428 counting only the distinct ones).

The product of its (nonzero) digits is 5761082880, while the sum is 81.

The spelling of 998377792461504 in words is "nine hundred ninety-eight trillion, three hundred seventy-seven billion, seven hundred ninety-two million, four hundred sixty-one thousand, five hundred four".