13435190016 has 144 divisors (see below), whose sum is σ = 37988966400. Its totient is φ = 4203270144.

The previous prime is 13435190011. The next prime is 13435190023. The reversal of 13435190016 is 61009153431.

It is not an unprimeable number, because it can be changed into a prime (13435190011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1586305 + ... + 1594751.

Almost surely, 2^13435190016 is an apocalyptic number.

13435190016 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 13435190016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18994483200).

13435190016 is an abundant number, since it is smaller than the sum of its proper divisors (24553776384).

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

13435190016 is a wasteful number, since it uses less digits than its factorization.

13435190016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8594 (or 8580 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 13435190016 in words is "thirteen billion, four hundred thirty-five million, one hundred ninety thousand, sixteen".