114254133840 has 720 divisors, whose sum is σ = 493330341504. Its totient is φ = 23183677440.

The previous prime is 114254133781. The next prime is 114254133841. The reversal of 114254133840 is 48331452411.

114254133840 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 541 + 33 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114254133795 and 114254133804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114254133841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26220942 + ... + 26225298.

Almost surely, 2^114254133840 is an apocalyptic number.

114254133840 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 114254133840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246665170752).

114254133840 is an abundant number, since it is smaller than the sum of its proper divisors (379076207664).

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

114254133840 is a wasteful number, since it uses less digits than its factorization.

114254133840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 114254133840 in words is "one hundred fourteen billion, two hundred fifty-four million, one hundred thirty-three thousand, eight hundred forty".