11464834680 has 192 divisors, whose sum is σ = 42487623360. Its totient is φ = 2656088064.

The previous prime is 11464834613. The next prime is 11464834721. The reversal of 11464834680 is 8643846411.

11464834680 is a `hidden beast` number, since 1 + 146 + 48 + 3 + 468 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7509 + ... + 151611.

It is an arithmetic number, because the mean of its divisors is an integer number (221289705).

Almost surely, 2^11464834680 is an apocalyptic number.

11464834680 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 11464834680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21243811680).

11464834680 is an abundant number, since it is smaller than the sum of its proper divisors (31022788680).

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

11464834680 is a wasteful number, since it uses less digits than its factorization.

11464834680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144150 (or 144143 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 11464834680 in words is "eleven billion, four hundred sixty-four million, eight hundred thirty-four thousand, six hundred eighty".