114219470927952 has 480 divisors, whose sum is σ = 356455905361920. Its totient is φ = 33905024271360.

The previous prime is 114219470927929. The next prime is 114219470927963. The reversal of 114219470927952 is 259729074912411.

114219470927952 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 1 + 9 + 470 + 92 + 79 + 5 + 2 = 666.

It is a super-2 number, since 2×114219470927952² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 114219470927952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42891275773 + ... + 42891278435.

It is an arithmetic number, because the mean of its divisors is an integer number (742616469504).

Almost surely, 2^{114219470927952} is an apocalyptic number.

114219470927952 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 114219470927952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178227952680960).

114219470927952 is an abundant number, since it is smaller than the sum of its proper divisors (242236434433968).

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

114219470927952 is a wasteful number, since it uses less digits than its factorization.

114219470927952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4743 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 114219470927952 in words is "one hundred fourteen trillion, two hundred nineteen billion, four hundred seventy million, nine hundred twenty-seven thousand, nine hundred fifty-two".