114129406469232 has 640 divisors, whose sum is σ = 422173847715840. Its totient is φ = 28648940544000.

The previous prime is 114129406469209. The next prime is 114129406469233. The reversal of 114129406469232 is 232964604921411.

114129406469232 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 294 + 0 + 64 + 69 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114129406469233) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 766095232 + ... + 766244192.

It is an arithmetic number, because the mean of its divisors is an integer number (659646637056).

Almost surely, 2^{114129406469232} is an apocalyptic number.

114129406469232 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 114129406469232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211086923857920).

114129406469232 is an abundant number, since it is smaller than the sum of its proper divisors (308044441246608).

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

114129406469232 is a wasteful number, since it uses less digits than its factorization.

114129406469232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149770 (or 149758 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 114129406469232 in words is "one hundred fourteen trillion, one hundred twenty-nine billion, four hundred six million, four hundred sixty-nine thousand, two hundred thirty-two".