263228524416 has 1536 divisors, whose sum is σ = 1031107392000. Its totient is φ = 64975011840.

The previous prime is 263228524387. The next prime is 263228524457. The reversal of 263228524416 is 614425822362.

It is a happy number.

263228524416 is a `hidden beast` number, since 2 + 6 + 3 + 228 + 5 + 2 + 4 + 416 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2713696080 + ... + 2713696176.

It is an arithmetic number, because the mean of its divisors is an integer number (671293875).

Almost surely, 2^263228524416 is an apocalyptic number.

263228524416 is a gapful number since it is divisible by the number (26) 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 263228524416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515553696000).

263228524416 is an abundant number, since it is smaller than the sum of its proper divisors (767878867584).

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

263228524416 is a wasteful number, since it uses less digits than its factorization.

263228524416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 162 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 263228524416 in words is "two hundred sixty-three billion, two hundred twenty-eight million, five hundred twenty-four thousand, four hundred sixteen".