11464514460 has 144 divisors (see below), whose sum is σ = 40395456192. Its totient is φ = 2577484800.

The previous prime is 11464514459. The next prime is 11464514483. The reversal of 11464514460 is 6441546411.

11464514460 is a `hidden beast` number, since 1 + 1 + 4 + 645 + 1 + 4 + 4 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2280 + ... + 151440.

Almost surely, 2^11464514460 is an apocalyptic number.

11464514460 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 11464514460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20197728096).

11464514460 is an abundant number, since it is smaller than the sum of its proper divisors (28930941732).

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

11464514460 is a wasteful number, since it uses less digits than its factorization.

11464514460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149244 (or 149239 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 11464514460 in words is "eleven billion, four hundred sixty-four million, five hundred fourteen thousand, four hundred sixty".