13654434816 has 704 divisors, whose sum is σ = 49521024000. Its totient is φ = 3662807040.

The previous prime is 13654434779. The next prime is 13654434821. The reversal of 13654434816 is 61843445631.

13654434816 is a `hidden beast` number, since 136 + 5 + 4 + 434 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98233275 + ... + 98233413.

Almost surely, 2^13654434816 is an apocalyptic number.

13654434816 is a gapful number since it is divisible by the number (16) 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 13654434816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24760512000).

13654434816 is an abundant number, since it is smaller than the sum of its proper divisors (35866589184).

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

13654434816 is a wasteful number, since it uses less digits than its factorization.

13654434816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 13654434816 in words is "thirteen billion, six hundred fifty-four million, four hundred thirty-four thousand, eight hundred sixteen".