1282345416 has 288 divisors, whose sum is σ = 4116403200. Its totient is φ = 359251200.

The previous prime is 1282345399. The next prime is 1282345429. The reversal of 1282345416 is 6145432821.

It is a happy number.

1282345416 is a `hidden beast` number, since 1 + 2 + 8 + 234 + 5 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10097145 + ... + 10097271.

Almost surely, 2^1282345416 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 1282345416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058201600).

1282345416 is an abundant number, since it is smaller than the sum of its proper divisors (2834057784).

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

1282345416 is a wasteful number, since it uses less digits than its factorization.

1282345416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 223 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1282345416 is about 35809.8508234815. The cubic root of 1282345416 is about 1086.4298126728.

The spelling of 1282345416 in words is "one billion, two hundred eighty-two million, three hundred forty-five thousand, four hundred sixteen".