11463823280 has 320 divisors, whose sum is σ = 35074421760. Its totient is φ = 3383119872.

The previous prime is 11463823249. The next prime is 11463823291. The reversal of 11463823280 is 8232836411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9266822 + ... + 9268058.

It is an arithmetic number, because the mean of its divisors is an integer number (109607568).

Almost surely, 2^11463823280 is an apocalyptic number.

11463823280 is a gapful number since it is divisible by the number (10) 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 11463823280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17537210880).

11463823280 is an abundant number, since it is smaller than the sum of its proper divisors (23610598480).

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

11463823280 is a wasteful number, since it uses less digits than its factorization.

11463823280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 11463823280 in words is "eleven billion, four hundred sixty-three million, eight hundred twenty-three thousand, two hundred eighty".