288245501376 has 448 divisors, whose sum is σ = 955676454912. Its totient is φ = 74802659328.

The previous prime is 288245501371. The next prime is 288245501381. The reversal of 288245501376 is 673105542882.

It is an interprime number because it is at equal distance from previous prime (288245501371) and next prime (288245501381).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288245501371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78389650 + ... + 78393326.

Almost surely, 2^288245501376 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 288245501376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477838227456).

288245501376 is an abundant number, since it is smaller than the sum of its proper divisors (667430953536).

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

288245501376 is a wasteful number, since it uses less digits than its factorization.

288245501376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 288245501376 in words is "two hundred eighty-eight billion, two hundred forty-five million, five hundred one thousand, three hundred seventy-six".