114203250432 has 432 divisors, whose sum is σ = 353736684000. Its totient is φ = 36790308864.

The previous prime is 114203250401. The next prime is 114203250443. The reversal of 114203250432 is 234052302411.

114203250432 is a `hidden beast` number, since 1 + 1 + 4 + 203 + 25 + 0 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114203250396 and 114203250405.

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, 766464694 + ... + 766464842.

Almost surely, 2^114203250432 is an apocalyptic number.

114203250432 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 114203250432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176868342000).

114203250432 is an abundant number, since it is smaller than the sum of its proper divisors (239533433568).

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

114203250432 is an frugal number, since it uses more digits than its factorization.

114203250432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 114203250432 its reverse (234052302411), we get a palindrome (348255552843).

It can be divided in two parts, 1142032 and 50432, that added together give a square (1192464 = 1092²).

The spelling of 114203250432 in words is "one hundred fourteen billion, two hundred three million, two hundred fifty thousand, four hundred thirty-two".