13970736000 has 768 divisors, whose sum is σ = 57340483200. Its totient is φ = 3229286400.

The previous prime is 13970735957. The next prime is 13970736001. The reversal of 13970736000 is 63707931.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13970736001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31823781 + ... + 31824219.

Almost surely, 2^13970736000 is an apocalyptic number.

13970736000 is a gapful number since it is divisible by the number (10) 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 13970736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28670241600).

13970736000 is an abundant number, since it is smaller than the sum of its proper divisors (43369747200).

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

13970736000 is a wasteful number, since it uses less digits than its factorization.

13970736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The spelling of 13970736000 in words is "thirteen billion, nine hundred seventy million, seven hundred thirty-six thousand".