11458668240 has 100 divisors (see below), whose sum is σ = 39797674884. Its totient is φ = 3055643136.

The previous prime is 11458668227. The next prime is 11458668293. The reversal of 11458668240 is 4286685411.

It is a happy number.

11458668240 is a `hidden beast` number, since 1 + 1 + 4 + 586 + 68 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5111678016 + 6346990224 = 71496^2 + 79668^2 .

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

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 877677 + ... + 890636.

Almost surely, 2^11458668240 is an apocalyptic number.

11458668240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11458668240 is an abundant number, since it is smaller than the sum of its proper divisors (28339006644).

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

11458668240 is a wasteful number, since it uses less digits than its factorization.

11458668240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768338 (or 1768323 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 11458668240 in words is "eleven billion, four hundred fifty-eight million, six hundred sixty-eight thousand, two hundred forty".