280738876145664 has 480 divisors, whose sum is σ = 792700102835200. Its totient is φ = 88373851324416.

The previous prime is 280738876145659. The next prime is 280738876145669. The reversal of 280738876145664 is 466541678837082.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (280738876145659) and next prime (280738876145669).

It is not an unprimeable number, because it can be changed into a prime (280738876145669) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 123728018322 + ... + 123728020590.

Almost surely, 2^{280738876145664} is an apocalyptic number.

280738876145664 is a gapful number since it is divisible by the number (24) 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 280738876145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396350051417600).

280738876145664 is an abundant number, since it is smaller than the sum of its proper divisors (511961226689536).

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

280738876145664 is an frugal number, since it uses more digits than its factorization.

280738876145664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 2601123840, while the sum is 75.

The spelling of 280738876145664 in words is "two hundred eighty trillion, seven hundred thirty-eight billion, eight hundred seventy-six million, one hundred forty-five thousand, six hundred sixty-four".