11456310011340 has 48 divisors (see below), whose sum is σ = 32517088154208. Its totient is φ = 3013166467584.

The previous prime is 11456310011303. The next prime is 11456310011387. The reversal of 11456310011340 is 4311001365411.

11456310011340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11456310011340² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11456310011298 and 11456310011307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1307793567 + ... + 1307802326.

It is an arithmetic number, because the mean of its divisors is an integer number (677439336546).

Almost surely, 2^{11456310011340} is an apocalyptic number.

11456310011340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11456310011340 is an abundant number, since it is smaller than the sum of its proper divisors (21060778142868).

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

11456310011340 is a wasteful number, since it uses less digits than its factorization.

11456310011340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615595978 (or 2615595976 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 11456310011340 its reverse (4311001365411), we get a palindrome (15767311376751).

The spelling of 11456310011340 in words is "eleven trillion, four hundred fifty-six billion, three hundred ten million, eleven thousand, three hundred forty".