13970464000 has 288 divisors, whose sum is σ = 37542409632. Its totient is φ = 5160960000.

The previous prime is 13970463989. The next prime is 13970464007. The reversal of 13970464000 is 46407931.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 13920224256 + 50239744 = 117984^2 + 7088^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13970464007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33183790 + ... + 33184210.

It is an arithmetic number, because the mean of its divisors is an integer number (130355589).

Almost surely, 2^13970464000 is an apocalyptic number.

13970464000 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 13970464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18771204816).

13970464000 is an abundant number, since it is smaller than the sum of its proper divisors (23571945632).

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

13970464000 is an equidigital number, since it uses as much as digits as its factorization.

13970464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 13970464000 in words is "thirteen billion, nine hundred seventy million, four hundred sixty-four thousand".