283609428480000 has 2340 divisors, whose sum is σ = 1197116299175940. Its totient is φ = 64483098624000.

The previous prime is 283609428479977. The next prime is 283609428480023. The reversal of 283609428480000 is 84824906382.

283609428480000 is a `hidden beast` number, since 2 + 8 + 3 + 609 + 4 + 28 + 4 + 8 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (283609428479977) and next prime (283609428480023).

It can be written as a sum of positive squares in 10 ways, for example, as 179659495378944 + 103949933101056 = 13403712^2 + 10195584^2 .

It is a super-2 number, since 2×283609428480000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 258531839452 + ... + 258531840548.

It is an arithmetic number, because the mean of its divisors is an integer number (511588162041).

Almost surely, 2^{283609428480000} is an apocalyptic number.

283609428480000 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 283609428480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598558149587970).

283609428480000 is an abundant number, since it is smaller than the sum of its proper divisors (913506870695940).

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

283609428480000 is a wasteful number, since it uses less digits than its factorization.

283609428480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 283609428480000 in words is "two hundred eighty-three trillion, six hundred nine billion, four hundred twenty-eight million, four hundred eighty thousand".