114585362304 has 512 divisors, whose sum is σ = 367599513600. Its totient is φ = 30950719488.

The previous prime is 114585362303. The next prime is 114585362347. The reversal of 114585362304 is 403263585411.

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 (114585362303) 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, 729842994 + ... + 729843150.

It is an arithmetic number, because the mean of its divisors is an integer number (717967800).

Almost surely, 2^114585362304 is an apocalyptic number.

114585362304 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 114585362304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183799756800).

114585362304 is an abundant number, since it is smaller than the sum of its proper divisors (253014151296).

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

114585362304 is a wasteful number, since it uses less digits than its factorization.

114585362304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 114585362304 in words is "one hundred fourteen billion, five hundred eighty-five million, three hundred sixty-two thousand, three hundred four".