114938493264 has 200 divisors, whose sum is σ = 387949425600. Its totient is φ = 32839442496.

The previous prime is 114938493221. The next prime is 114938493269. The reversal of 114938493264 is 462394839411.

114938493264 is a `hidden beast` number, since 1 + 1 + 4 + 93 + 8 + 493 + 2 + 64 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 114938493264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114938493269) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 315247 + ... + 573809.

It is an arithmetic number, because the mean of its divisors is an integer number (1939747128).

Almost surely, 2^114938493264 is an apocalyptic number.

114938493264 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 114938493264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193974712800).

114938493264 is an abundant number, since it is smaller than the sum of its proper divisors (273010932336).

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

114938493264 is an equidigital number, since it uses as much as digits as its factorization.

114938493264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258604 (or 258575 counting only the distinct ones).

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

The spelling of 114938493264 in words is "one hundred fourteen billion, nine hundred thirty-eight million, four hundred ninety-three thousand, two hundred sixty-four".