13458197600 has 72 divisors (see below), whose sum is σ = 32871802320. Its totient is φ = 5380497920.

The previous prime is 13458197569. The next prime is 13458197647. The reversal of 13458197600 is 679185431.

It is a super-2 number, since 2×13458197600² (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 11 ways as a sum of consecutive naturals, for example, 2324309 + ... + 2330091.

It is an arithmetic number, because the mean of its divisors is an integer number (456552810).

Almost surely, 2^13458197600 is an apocalyptic number.

13458197600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13458197600 is an abundant number, since it is smaller than the sum of its proper divisors (19413604720).

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

13458197600 is a wasteful number, since it uses less digits than its factorization.

13458197600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8712 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 13458197600 in words is "thirteen billion, four hundred fifty-eight million, one hundred ninety-seven thousand, six hundred".