13954274880 has 672 divisors, whose sum is σ = 58472588160. Its totient is φ = 2786918400.

The previous prime is 13954274857. The next prime is 13954274881. The reversal of 13954274880 is 8847245931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13954274881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11618280 + ... + 11619480.

It is an arithmetic number, because the mean of its divisors is an integer number (87012780).

Almost surely, 2^13954274880 is an apocalyptic number.

13954274880 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 13954274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29236294080).

13954274880 is an abundant number, since it is smaller than the sum of its proper divisors (44518313280).

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

13954274880 is a wasteful number, since it uses less digits than its factorization.

13954274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 13954274880 in words is "thirteen billion, nine hundred fifty-four million, two hundred seventy-four thousand, eight hundred eighty".