14938638038016 has 528 divisors, whose sum is σ = 52650642670080. Its totient is φ = 3675934310400.

The previous prime is 14938638037993. The next prime is 14938638038029. The reversal of 14938638038016 is 61083083683941.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×14938638038016² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49286611 + ... + 49588781.

Almost surely, 2^{14938638038016} is an apocalyptic number.

14938638038016 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 14938638038016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26325321335040).

14938638038016 is an abundant number, since it is smaller than the sum of its proper divisors (37712004632064).

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

14938638038016 is a wasteful number, since it uses less digits than its factorization.

14938638038016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302242 (or 302213 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 14938638038016 in words is "fourteen trillion, nine hundred thirty-eight billion, six hundred thirty-eight million, thirty-eight thousand, sixteen".