11459605248 has 360 divisors, whose sum is σ = 42062887328. Its totient is φ = 3021815808.

The previous prime is 11459605231. The next prime is 11459605271. The reversal of 11459605248 is 84250695411.

11459605248 is a `hidden beast` number, since 1 + 1 + 4 + 596 + 0 + 52 + 4 + 8 = 666.

It is a super-3 number, since 3×11459605248³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1883940 + ... + 1890012.

Almost surely, 2^11459605248 is an apocalyptic number.

11459605248 is a gapful number since it is divisible by the number (18) 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 11459605248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21031443664).

11459605248 is an abundant number, since it is smaller than the sum of its proper divisors (30603282080).

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

11459605248 is an equidigital number, since it uses as much as digits as its factorization.

11459605248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6121 (or 6098 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 11459605248 in words is "eleven billion, four hundred fifty-nine million, six hundred five thousand, two hundred forty-eight".