114055711967232 has 1728 divisors, whose sum is σ = 413249448568320. Its totient is φ = 31335274414080.

The previous prime is 114055711967209. The next prime is 114055711967243. The reversal of 114055711967232 is 232769117550411.

It is a happy number.

114055711967232 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 5 + 571 + 1 + 9 + 67 + 2 + 3 + 2 = 666.

114055711967232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 726469502898 + ... + 726469503054.

It is an arithmetic number, because the mean of its divisors is an integer number (239148986440).

Almost surely, 2^{114055711967232} is an apocalyptic number.

114055711967232 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 114055711967232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206624724284160).

114055711967232 is an abundant number, since it is smaller than the sum of its proper divisors (299193736601088).

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

114055711967232 is an frugal number, since it uses more digits than its factorization.

114055711967232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 114055711967232 in words is "one hundred fourteen trillion, fifty-five billion, seven hundred eleven million, nine hundred sixty-seven thousand, two hundred thirty-two".