114532555104 has 288 divisors, whose sum is σ = 375987830400. Its totient is φ = 32706478080.

The previous prime is 114532555069. The next prime is 114532555147. The reversal of 114532555104 is 401555235411.

114532555104 is a `hidden beast` number, since 1 + 14 + 532 + 5 + 5 + 5 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11612127 + ... + 11621985.

It is an arithmetic number, because the mean of its divisors is an integer number (1305513300).

Almost surely, 2^114532555104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114532555104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187993915200).

114532555104 is an abundant number, since it is smaller than the sum of its proper divisors (261455275296).

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

114532555104 is a wasteful number, since it uses less digits than its factorization.

114532555104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10098 (or 10087 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 114532555104 in words is "one hundred fourteen billion, five hundred thirty-two million, five hundred fifty-five thousand, one hundred four".