13970032128 has 180 divisors, whose sum is σ = 43660882980. Its totient is φ = 4298231808.

The previous prime is 13970032121. The next prime is 13970032151. The reversal of 13970032128 is 82123007931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13970032092 and 13970032101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13970032121) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 769783 + ... + 787721.

It is an arithmetic number, because the mean of its divisors is an integer number (242560461).

Almost surely, 2^13970032128 is an apocalyptic number.

13970032128 is a gapful number since it is divisible by the number (18) 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 13970032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21830441490).

13970032128 is an abundant number, since it is smaller than the sum of its proper divisors (29690850852).

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

13970032128 is a wasteful number, since it uses less digits than its factorization.

13970032128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17989 (or 17957 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 13970032128 in words is "thirteen billion, nine hundred seventy million, thirty-two thousand, one hundred twenty-eight".