114351051648 has 128 divisors (see below), whose sum is σ = 314561268000. Its totient is φ = 36762550272.

The previous prime is 114351051641. The next prime is 114351051671. The reversal of 114351051648 is 846150153411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114351051641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11231136 + ... + 11241312.

Almost surely, 2^114351051648 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 114351051648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157280634000).

114351051648 is an abundant number, since it is smaller than the sum of its proper divisors (200210216352).

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

114351051648 is a wasteful number, since it uses less digits than its factorization.

114351051648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11232 (or 11220 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 114351051648 in words is "one hundred fourteen billion, three hundred fifty-one million, fifty-one thousand, six hundred forty-eight".