288413007456 has 144 divisors (see below), whose sum is σ = 884642217984. Its totient is φ = 82033894656.

The previous prime is 288413007427. The next prime is 288413007469. The reversal of 288413007456 is 654700314882.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 911521 + ... + 1186463.

It is an arithmetic number, because the mean of its divisors is an integer number (6143348736).

Almost surely, 2^288413007456 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 288413007456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442321108992).

288413007456 is an abundant number, since it is smaller than the sum of its proper divisors (596229210528).

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

288413007456 is a wasteful number, since it uses less digits than its factorization.

288413007456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275193 (or 275178 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 288413007456 in words is "two hundred eighty-eight billion, four hundred thirteen million, seven thousand, four hundred fifty-six".