13954744320 has 512 divisors, whose sum is σ = 50960016000. Its totient is φ = 3229614080.

The previous prime is 13954744289. The next prime is 13954744387. The reversal of 13954744320 is 2344745931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-4 number, since 4×13954744320⁴ (a number of 42 digits) contains 4444 as substring.

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, 156794836 + ... + 156794924.

Almost surely, 2^13954744320 is an apocalyptic number.

13954744320 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 13954744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25480008000).

13954744320 is an abundant number, since it is smaller than the sum of its proper divisors (37005271680).

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

13954744320 is an equidigital number, since it uses as much as digits as its factorization.

13954744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 13954744320 in words is "thirteen billion, nine hundred fifty-four million, seven hundred forty-four thousand, three hundred twenty".