16738121954016 has 72 divisors (see below), whose sum is σ = 49240380341880. Its totient is φ = 5386981775616.

The previous prime is 16738121953957. The next prime is 16738121954053. The reversal of 16738121954016 is 61045912183761.

16738121954016 is a `hidden beast` number, since 1 + 6 + 7 + 3 + 81 + 2 + 1 + 9 + 540 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1002034390 + ... + 1002051093.

It is an arithmetic number, because the mean of its divisors is an integer number (683894171415).

It is a 1-persistent number, because it is pandigital, but 2⋅16738121954016 = 33476243908032 is not.

Almost surely, 2^{16738121954016} is an apocalyptic number.

16738121954016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16738121954016 is an abundant number, since it is smaller than the sum of its proper divisors (32502258387864).

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

16738121954016 is a wasteful number, since it uses less digits than its factorization.

16738121954016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004085528 (or 2004085517 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 16738121954016 in words is "sixteen trillion, seven hundred thirty-eight billion, one hundred twenty-one million, nine hundred fifty-four thousand, sixteen".