114434131417320 has 1024 divisors, whose sum is σ = 417740488704000. Its totient is φ = 24708495052800.

The previous prime is 114434131417301. The next prime is 114434131417343. The reversal of 114434131417320 is 23714131434411.

It is a Cunningham number, because it is equal to 10697389²-1.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 78433262751 + ... + 78433264209.

It is an arithmetic number, because the mean of its divisors is an integer number (407949696000).

Almost surely, 2^{114434131417320} is an apocalyptic number.

114434131417320 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 114434131417320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208870244352000).

114434131417320 is an abundant number, since it is smaller than the sum of its proper divisors (303306357286680).

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

114434131417320 is a wasteful number, since it uses less digits than its factorization.

114434131417320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 114434131417320 in words is "one hundred fourteen trillion, four hundred thirty-four billion, one hundred thirty-one million, four hundred seventeen thousand, three hundred twenty".