13457518848 has 216 divisors, whose sum is σ = 40458102048. Its totient is φ = 4461391872.

The previous prime is 13457518813. The next prime is 13457518871. The reversal of 13457518848 is 84881575431.

13457518848 is a `hidden beast` number, since 1 + 3 + 45 + 7 + 518 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×13457518848² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13457518794 and 13457518803.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14120740 + ... + 14121692.

It is an arithmetic number, because the mean of its divisors is an integer number (187306028).

Almost surely, 2^13457518848 is an apocalyptic number.

13457518848 is a gapful number since it is divisible by the number (18) 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 13457518848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20229051024).

13457518848 is an abundant number, since it is smaller than the sum of its proper divisors (27000583200).

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

13457518848 is an frugal number, since it uses more digits than its factorization.

13457518848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1185 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 54.

The spelling of 13457518848 in words is "thirteen billion, four hundred fifty-seven million, five hundred eighteen thousand, eight hundred forty-eight".