13970419872 has 96 divisors (see below), whose sum is σ = 37564756992. Its totient is φ = 4544081664.

The previous prime is 13970419849. The next prime is 13970419873. The reversal of 13970419872 is 27891407931.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (13970419873) 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, 1561203 + ... + 1570125.

It is an arithmetic number, because the mean of its divisors is an integer number (391299552).

Almost surely, 2^13970419872 is an apocalyptic number.

13970419872 is a gapful number since it is divisible by the number (12) 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 13970419872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18782378496).

13970419872 is an abundant number, since it is smaller than the sum of its proper divisors (23594337120).

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

13970419872 is a wasteful number, since it uses less digits than its factorization.

13970419872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9330 (or 9322 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The spelling of 13970419872 in words is "thirteen billion, nine hundred seventy million, four hundred nineteen thousand, eight hundred seventy-two".