13974218496 has 504 divisors, whose sum is σ = 50401115520. Its totient is φ = 3775776768.

The previous prime is 13974218473. The next prime is 13974218507. The reversal of 13974218496 is 69481247931.

13974218496 is a `hidden beast` number, since 13 + 97 + 42 + 18 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24820711 + ... + 24821273.

Almost surely, 2^13974218496 is an apocalyptic number.

13974218496 is a gapful number since it is divisible by the number (16) 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 13974218496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25200557760).

13974218496 is an abundant number, since it is smaller than the sum of its proper divisors (36426897024).

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

13974218496 is an frugal number, since it uses more digits than its factorization.

13974218496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 594 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 13974218496 in words is "thirteen billion, nine hundred seventy-four million, two hundred eighteen thousand, four hundred ninety-six".