999389348100 has 540 divisors, whose sum is σ = 3834875705892. Its totient is φ = 223636723200.

The previous prime is 999389348063. The next prime is 999389348107. The reversal of 999389348100 is 1843983999.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 223749812484 + 775639535616 = 473022^2 + 880704^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×999389348100² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (999389348107) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 12702082 + ... + 12780518.

Almost surely, 2^999389348100 is an apocalyptic number.

999389348100 is a gapful number since it is divisible by the number (90) 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 999389348100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917437852946).

999389348100 is an abundant number, since it is smaller than the sum of its proper divisors (2835486357792).

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

999389348100 is a wasteful number, since it uses less digits than its factorization.

999389348100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78498 (or 78471 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 999389348100 in words is "nine hundred ninety-nine billion, three hundred eighty-nine million, three hundred forty-eight thousand, one hundred".