13498507008 has 288 divisors, whose sum is σ = 48306424320. Its totient is φ = 3629629440.

The previous prime is 13498506977. The next prime is 13498507027. The reversal of 13498507008 is 80070589431.

13498507008 is a `hidden beast` number, since 134 + 9 + 8 + 507 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13498507008² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 814323 + ... + 830733.

It is an arithmetic number, because the mean of its divisors is an integer number (167730640).

Almost surely, 2^13498507008 is an apocalyptic number.

13498507008 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 13498507008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24153212160).

13498507008 is an abundant number, since it is smaller than the sum of its proper divisors (34807917312).

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

13498507008 is a wasteful number, since it uses less digits than its factorization.

13498507008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16460 (or 16440 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 13498507008 in words is "thirteen billion, four hundred ninety-eight million, five hundred seven thousand, eight".