13974277718016 has 2052 divisors, whose sum is σ = 54976940340504. Its totient is φ = 3531582996480.

The previous prime is 13974277717973. The next prime is 13974277718029. The reversal of 13974277718016 is 61081777247931.

It is a happy number.

13974277718016 is a `hidden beast` number, since 13 + 9 + 7 + 427 + 7 + 7 + 180 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 377683181550 + ... + 377683181586.

Almost surely, 2^{13974277718016} is an apocalyptic number.

13974277718016 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 13974277718016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27488470170252).

13974277718016 is an abundant number, since it is smaller than the sum of its proper divisors (41002662622488).

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

13974277718016 is an frugal number, since it uses more digits than its factorization.

13974277718016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 63.

The spelling of 13974277718016 in words is "thirteen trillion, nine hundred seventy-four billion, two hundred seventy-seven million, seven hundred eighteen thousand, sixteen".