114229306464 has 384 divisors, whose sum is σ = 379048320000. Its totient is φ = 30107331072.

The previous prime is 114229306463. The next prime is 114229306489. The reversal of 114229306464 is 464603922411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114229306463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72342027 + ... + 72343605.

It is an arithmetic number, because the mean of its divisors is an integer number (987105000).

Almost surely, 2^114229306464 is an apocalyptic number.

114229306464 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 114229306464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189524160000).

114229306464 is an abundant number, since it is smaller than the sum of its proper divisors (264819013536).

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

114229306464 is an equidigital number, since it uses as much as digits as its factorization.

114229306464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 114229306464 in words is "one hundred fourteen billion, two hundred twenty-nine million, three hundred six thousand, four hundred sixty-four".