114857811903744 has 1152 divisors, whose sum is σ = 423978300533760. Its totient is φ = 30236312862720.

The previous prime is 114857811903661. The next prime is 114857811903761. The reversal of 114857811903744 is 447309118758411.

114857811903744 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 5 + 78 + 1 + 190 + 374 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 32657891874 + ... + 32657895390.

Almost surely, 2^{114857811903744} is an apocalyptic number.

114857811903744 is a gapful number since it is divisible by the number (14) 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 114857811903744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211989150266880).

114857811903744 is an abundant number, since it is smaller than the sum of its proper divisors (309120488630016).

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

114857811903744 is an frugal number, since it uses more digits than its factorization.

114857811903744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215 (or 4183 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 114857811903744 in words is "one hundred fourteen trillion, eight hundred fifty-seven billion, eight hundred eleven million, nine hundred three thousand, seven hundred forty-four".