114426878702500 has 405 divisors, whose sum is σ = 315329821064181. Its totient is φ = 36198817200000.

The previous prime is 114426878702471. The next prime is 114426878702503. The reversal of 114426878702500 is 5207878624411.

It is a happy number.

The square root of 114426878702500 is 10697050.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 113022881213284 + 1403997489216 = 10631222^2 + 1184904^2 .

It is not an unprimeable number, because it can be changed into a prime (114426878702503) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 48671576325 + ... + 48671578675.

Almost surely, 2^{114426878702500} is an apocalyptic number.

114426878702500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114426878702500 is the 10697050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114426878702500

114426878702500 is an abundant number, since it is smaller than the sum of its proper divisors (200902942361681).

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

114426878702500 is an frugal number, since it uses more digits than its factorization.

114426878702500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 55.

The spelling of 114426878702500 in words is "one hundred fourteen trillion, four hundred twenty-six billion, eight hundred seventy-eight million, seven hundred two thousand, five hundred".