11346542460 has 144 divisors (see below), whose sum is σ = 38107585152. Its totient is φ = 2709590400.

The previous prime is 11346542453. The next prime is 11346542477. The reversal of 11346542460 is 6424564311.

11346542460 is a `hidden beast` number, since 1 + 13 + 46 + 542 + 4 + 60 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89895 + ... + 175425.

It is an arithmetic number, because the mean of its divisors is an integer number (264636008).

Almost surely, 2^11346542460 is an apocalyptic number.

11346542460 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 11346542460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19053792576).

11346542460 is an abundant number, since it is smaller than the sum of its proper divisors (26761042692).

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

11346542460 is a wasteful number, since it uses less digits than its factorization.

11346542460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85624 (or 85619 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 11346542460 in words is "eleven billion, three hundred forty-six million, five hundred forty-two thousand, four hundred sixty".