114766148248320 has 576 divisors, whose sum is σ = 397925407724544. Its totient is φ = 28075756093440.

The previous prime is 114766148248289. The next prime is 114766148248391. The reversal of 114766148248320 is 23842841667411.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3005667949 + ... + 3005706131.

It is an arithmetic number, because the mean of its divisors is an integer number (690842721744).

Almost surely, 2^{114766148248320} is an apocalyptic number.

114766148248320 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 114766148248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198962703862272).

114766148248320 is an abundant number, since it is smaller than the sum of its proper divisors (283159259476224).

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

114766148248320 is a wasteful number, since it uses less digits than its factorization.

114766148248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39388 (or 39374 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 114766148248320 in words is "one hundred fourteen trillion, seven hundred sixty-six billion, one hundred forty-eight million, two hundred forty-eight thousand, three hundred twenty".