13921742016 has 504 divisors, whose sum is σ = 52647220080. Its totient is φ = 3476680704.

The previous prime is 13921741993. The next prime is 13921742039. The reversal of 13921742016 is 61024712931.

13921742016 is a `hidden beast` number, since 1 + 3 + 9 + 217 + 420 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (13921741993) and next prime (13921742039).

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6970330 + ... + 6972326.

It is an arithmetic number, because the mean of its divisors is an integer number (104458770).

Almost surely, 2^13921742016 is an apocalyptic number.

13921742016 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 13921742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26323610040).

13921742016 is an abundant number, since it is smaller than the sum of its proper divisors (38725478064).

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

13921742016 is a wasteful number, since it uses less digits than its factorization.

13921742016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 13921742016 in words is "thirteen billion, nine hundred twenty-one million, seven hundred forty-two thousand, sixteen".