283815312500 has 72 divisors (see below), whose sum is σ = 621496553496. Its totient is φ = 113407000000.

The previous prime is 283815312497. The next prime is 283815312509. The reversal of 283815312500 is 5213518382.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 12 ways, for example, as 89829680656 + 193985631844 = 299716^2 + 440438^2 .

It is a super-2 number, since 2×283815312500² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283815312509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297812024 + ... + 297812976.

Almost surely, 2^283815312500 is an apocalyptic number.

283815312500 is a gapful number since it is divisible by the number (20) 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 283815312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310748276748).

283815312500 is an abundant number, since it is smaller than the sum of its proper divisors (337681240996).

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

283815312500 is an frugal number, since it uses more digits than its factorization.

283815312500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 283815312500 in words is "two hundred eighty-three billion, eight hundred fifteen million, three hundred twelve thousand, five hundred".