16842131101152 has 288 divisors, whose sum is σ = 57156860507040. Its totient is φ = 4810865633280.

The previous prime is 16842131101127. The next prime is 16842131101153. The reversal of 16842131101152 is 25110113124861.

16842131101152 is a `hidden beast` number, since 1 + 6 + 8 + 421 + 3 + 110 + 115 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16842131101153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181871502 + ... + 181964082.

It is an arithmetic number, because the mean of its divisors is an integer number (198461321205).

Almost surely, 2^{16842131101152} is an apocalyptic number.

16842131101152 is a gapful number since it is divisible by the number (12) 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 16842131101152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28578430253520).

16842131101152 is an abundant number, since it is smaller than the sum of its proper divisors (40314729405888).

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

16842131101152 is a wasteful number, since it uses less digits than its factorization.

16842131101152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96911 (or 96890 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 16842131101152 in words is "sixteen trillion, eight hundred forty-two billion, one hundred thirty-one million, one hundred one thousand, one hundred fifty-two".