141117309216 has 288 divisors, whose sum is σ = 450737784000. Its totient is φ = 42928883712.

The previous prime is 141117309211. The next prime is 141117309253. The reversal of 141117309216 is 612903711141.

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 not an unprimeable number, because it can be changed into a prime (141117309211) 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, 12989995 + ... + 13000853.

It is an arithmetic number, because the mean of its divisors is an integer number (1565061750).

Almost surely, 2^141117309216 is an apocalyptic number.

141117309216 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 141117309216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225368892000).

141117309216 is an abundant number, since it is smaller than the sum of its proper divisors (309620474784).

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

141117309216 is a wasteful number, since it uses less digits than its factorization.

141117309216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10993 (or 10966 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 141117309216 in words is "one hundred forty-one billion, one hundred seventeen million, three hundred nine thousand, two hundred sixteen".