11455946460 has 216 divisors, whose sum is σ = 41040705888. Its totient is φ = 2533766400.

The previous prime is 11455946399. The next prime is 11455946497. The reversal of 11455946460 is 6464955411.

11455946460 is a `hidden beast` number, since 1 + 14 + 5 + 594 + 6 + 46 + 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 71 ways as a sum of consecutive naturals, for example, 1206130 + ... + 1215590.

It is an arithmetic number, because the mean of its divisors is an integer number (190003268).

Almost surely, 2^11455946460 is an apocalyptic number.

11455946460 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 11455946460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520352944).

11455946460 is an abundant number, since it is smaller than the sum of its proper divisors (29584759428).

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

11455946460 is a wasteful number, since it uses less digits than its factorization.

11455946460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9545 (or 9509 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 11455946460 in words is "eleven billion, four hundred fifty-five million, nine hundred forty-six thousand, four hundred sixty".