11451514356 has 72 divisors (see below), whose sum is σ = 29767570560. Its totient is φ = 3709215936.

The previous prime is 11451514309. The next prime is 11451514369. The reversal of 11451514356 is 65341515411.

11451514356 is a `hidden beast` number, since 11 + 451 + 5 + 143 + 56 = 666.

11451514356 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 2×11451514356² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11451514356.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1112425 + ... + 1122671.

It is an arithmetic number, because the mean of its divisors is an integer number (413438480).

Almost surely, 2^11451514356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11451514356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14883785280).

11451514356 is an abundant number, since it is smaller than the sum of its proper divisors (18316056204).

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

11451514356 is a wasteful number, since it uses less digits than its factorization.

11451514356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11133 (or 11128 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The spelling of 11451514356 in words is "eleven billion, four hundred fifty-one million, five hundred fourteen thousand, three hundred fifty-six".