14891850128016 has 135 divisors (see below), whose sum is σ = 41840823824137. Its totient is φ = 4944454394880.

The previous prime is 14891850127981. The next prime is 14891850128093. The reversal of 14891850128016 is 61082105819841.

The square root of 14891850128016 is 3858996.

It is a perfect power (a square), and thus also a powerful number.

14891850128016 is a `hidden beast` number, since 1 + 48 + 9 + 1 + 8 + 501 + 2 + 80 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6050124090000 + 8841726038016 = 2459700^2 + 2973504^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16346706601 + ... + 16346707511.

Almost surely, 2^{14891850128016} is an apocalyptic number.

14891850128016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14891850128016 is the 3858996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14891850128016

14891850128016 is an abundant number, since it is smaller than the sum of its proper divisors (26948973696121).

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

14891850128016 is an frugal number, since it uses more digits than its factorization.

14891850128016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 14891850128016 in words is "fourteen trillion, eight hundred ninety-one billion, eight hundred fifty million, one hundred twenty-eight thousand, sixteen".