13454115840 has 792 divisors, whose sum is σ = 54363079680. Its totient is φ = 3065610240.

The previous prime is 13454115839. The next prime is 13454115853. The reversal of 13454115840 is 4851145431.

13454115840 is a `hidden beast` number, since 1 + 34 + 5 + 41 + 1 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×13454115840² (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 junction number, because it is equal to n+sod(n) for n = 13454115795 and 13454115804.

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, 105937857 + ... + 105937983.

Almost surely, 2^13454115840 is an apocalyptic number.

13454115840 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 13454115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27181539840).

13454115840 is an abundant number, since it is smaller than the sum of its proper divisors (40908963840).

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

13454115840 is a wasteful number, since it uses less digits than its factorization.

13454115840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 13454115840 in words is "thirteen billion, four hundred fifty-four million, one hundred fifteen thousand, eight hundred forty".