16542163013376 has 1152 divisors, whose sum is σ = 61572416274432. Its totient is φ = 3804143616000.

The previous prime is 16542163013371. The next prime is 16542163013399. The reversal of 16542163013376 is 67331036124561.

It is a super-2 number, since 2×16542163013376² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16542163013371) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2019549441 + ... + 2019557631.

It is an arithmetic number, because the mean of its divisors is an integer number (53448278016).

Almost surely, 2^{16542163013376} is an apocalyptic number.

16542163013376 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 16542163013376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30786208137216).

16542163013376 is an abundant number, since it is smaller than the sum of its proper divisors (45030253261056).

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

16542163013376 is a wasteful number, since it uses less digits than its factorization.

16542163013376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8349 (or 8335 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 16542163013376 in words is "sixteen trillion, five hundred forty-two billion, one hundred sixty-three million, thirteen thousand, three hundred seventy-six".