114916821697248 has 96 divisors (see below), whose sum is σ = 307378425424896. Its totient is φ = 37579175182848.

The previous prime is 114916821697243. The next prime is 114916821697259. The reversal of 114916821697248 is 842796128619411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114916821697243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51034665 + ... + 53238807.

It is an arithmetic number, because the mean of its divisors is an integer number (3201858598176).

Almost surely, 2^{114916821697248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114916821697248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153689212712448).

114916821697248 is an abundant number, since it is smaller than the sum of its proper divisors (192461603727648).

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

114916821697248 is a wasteful number, since it uses less digits than its factorization.

114916821697248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214456 (or 2214448 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 69.

The spelling of 114916821697248 in words is "one hundred fourteen trillion, nine hundred sixteen billion, eight hundred twenty-one million, six hundred ninety-seven thousand, two hundred forty-eight".