16014122484100 has 288 divisors, whose sum is σ = 39203965785600. Its totient is φ = 5639864371200.

The previous prime is 16014122484043. The next prime is 16014122484271. The reversal of 16014122484100 is 148422141061.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406234191 + ... + 406273609.

It is an arithmetic number, because the mean of its divisors is an integer number (136124881200).

Almost surely, 2^{16014122484100} is an apocalyptic number.

16014122484100 is a gapful number since it is divisible by the number (10) 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 16014122484100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19601982892800).

16014122484100 is an abundant number, since it is smaller than the sum of its proper divisors (23189843301500).

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

16014122484100 is a wasteful number, since it uses less digits than its factorization.

16014122484100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39663 (or 39656 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 16014122484100 in words is "sixteen trillion, fourteen billion, one hundred twenty-two million, four hundred eighty-four thousand, one hundred".