11006455460 has 144 divisors (see below), whose sum is σ = 31588159680. Its totient is φ = 3166652160.

The previous prime is 11006455433. The next prime is 11006455541. The reversal of 11006455460 is 6455460011.

It is a super-2 number, since 2×11006455460² (a number of 21 digits) contains 22 as substring.

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, 100871 + ... + 179409.

It is an arithmetic number, because the mean of its divisors is an integer number (219362220).

Almost surely, 2^11006455460 is an apocalyptic number.

11006455460 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 11006455460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15794079840).

11006455460 is an abundant number, since it is smaller than the sum of its proper divisors (20581704220).

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

11006455460 is a wasteful number, since it uses less digits than its factorization.

11006455460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78586 (or 78577 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 11006455460 in words is "eleven billion, six million, four hundred fifty-five thousand, four hundred sixty".