13478703616 has 320 divisors, whose sum is σ = 33940684800. Its totient is φ = 5331701760.

The previous prime is 13478703599. The next prime is 13478703631. The reversal of 13478703616 is 61630787431.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189840861 + ... + 189840931.

It is an arithmetic number, because the mean of its divisors is an integer number (106064640).

Almost surely, 2^13478703616 is an apocalyptic number.

13478703616 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 13478703616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16970342400).

13478703616 is an abundant number, since it is smaller than the sum of its proper divisors (20461981184).

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

13478703616 is an frugal number, since it uses more digits than its factorization.

13478703616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 13478703616 in words is "thirteen billion, four hundred seventy-eight million, seven hundred three thousand, six hundred sixteen".