13494921300 has 576 divisors, whose sum is σ = 53161597440. Its totient is φ = 2866544640.

The previous prime is 13494921299. The next prime is 13494921337. The reversal of 13494921300 is 312949431.

13494921300 is a `hidden beast` number, since 1 + 34 + 9 + 492 + 130 + 0 = 666.

It is a super-2 number, since 2×13494921300² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31165884 + ... + 31166316.

It is an arithmetic number, because the mean of its divisors is an integer number (92294440).

Almost surely, 2^13494921300 is an apocalyptic number.

13494921300 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 13494921300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26580798720).

13494921300 is an abundant number, since it is smaller than the sum of its proper divisors (39666676140).

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

13494921300 is a wasteful number, since it uses less digits than its factorization.

13494921300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13494921300 in words is "thirteen billion, four hundred ninety-four million, nine hundred twenty-one thousand, three hundred".