114117217632 has 192 divisors, whose sum is σ = 363979526400. Its totient is φ = 34497239040.

The previous prime is 114117217607. The next prime is 114117217649. The reversal of 114117217632 is 236712711411.

114117217632 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 1 + 7 + 2 + 17 + 632 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 3967848 + ... + 3996504.

It is an arithmetic number, because the mean of its divisors is an integer number (1895726700).

Almost surely, 2^114117217632 is an apocalyptic number.

114117217632 is a gapful number since it is divisible by the number (12) 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 114117217632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181989763200).

114117217632 is an abundant number, since it is smaller than the sum of its proper divisors (249862308768).

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

114117217632 is a wasteful number, since it uses less digits than its factorization.

114117217632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29106 (or 29092 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The spelling of 114117217632 in words is "one hundred fourteen billion, one hundred seventeen million, two hundred seventeen thousand, six hundred thirty-two".