13354094160 has 480 divisors, whose sum is σ = 51154975872. Its totient is φ = 3210762240.

The previous prime is 13354094137. The next prime is 13354094177. The reversal of 13354094160 is 6149045331.

13354094160 is a `hidden beast` number, since 13 + 3 + 540 + 9 + 41 + 60 = 666.

It is a super-2 number, since 2×13354094160² (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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42126322 + ... + 42126638.

Almost surely, 2^13354094160 is an apocalyptic number.

13354094160 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 13354094160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25577487936).

13354094160 is an abundant number, since it is smaller than the sum of its proper divisors (37800881712).

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

13354094160 is a wasteful number, since it uses less digits than its factorization.

13354094160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13354094160 in words is "thirteen billion, three hundred fifty-four million, ninety-four thousand, one hundred sixty".