114700141248 has 448 divisors, whose sum is σ = 385540300800. Its totient is φ = 29232783360.

The previous prime is 114700141247. The next prime is 114700141253. The reversal of 114700141248 is 842141007411.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×114700141248² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (114700141247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235523661 + ... + 235524147.

Almost surely, 2^114700141248 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 114700141248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192770150400).

114700141248 is an abundant number, since it is smaller than the sum of its proper divisors (270840159552).

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

114700141248 is a wasteful number, since it uses less digits than its factorization.

114700141248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

Adding to 114700141248 its reverse (842141007411), we get a palindrome (956841148659).

The spelling of 114700141248 in words is "one hundred fourteen billion, seven hundred million, one hundred forty-one thousand, two hundred forty-eight".