114274685952 has 660 divisors, whose sum is σ = 410217227904. Its totient is φ = 31561850880.

The previous prime is 114274685951. The next prime is 114274685953. The reversal of 114274685952 is 259586472411.

114274685952 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 7 + 46 + 8 + 595 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (114274685951) and next prime (114274685953).

It is a super-2 number, since 2×114274685952² (a number of 23 digits) contains 22 as substring.

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 (114274685951) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 125991483 + ... + 125992389.

Almost surely, 2^114274685952 is an apocalyptic number.

114274685952 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 114274685952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205108613952).

114274685952 is an abundant number, since it is smaller than the sum of its proper divisors (295942541952).

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

114274685952 is an equidigital number, since it uses as much as digits as its factorization.

114274685952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 950 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 114274685952 in words is "one hundred fourteen billion, two hundred seventy-four million, six hundred eighty-five thousand, nine hundred fifty-two".