114105011125050 has 480 divisors, whose sum is σ = 356465094416640. Its totient is φ = 26824839206400.

The previous prime is 114105011125033. The next prime is 114105011125109. The reversal of 114105011125050 is 50521110501411.

114105011125050 is a `hidden beast` number, since 1 + 1 + 41 + 0 + 5 + 0 + 1 + 112 + 505 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 227979672 + ... + 228479628.

It is an arithmetic number, because the mean of its divisors is an integer number (742635613368).

Almost surely, 2^{114105011125050} is an apocalyptic number.

114105011125050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114105011125050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178232547208320).

114105011125050 is an abundant number, since it is smaller than the sum of its proper divisors (242360083291590).

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

114105011125050 is a wasteful number, since it uses less digits than its factorization.

114105011125050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500148 (or 500134 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 27.

Adding to 114105011125050 its reverse (50521110501411), we get a palindrome (164626121626461).

The spelling of 114105011125050 in words is "one hundred fourteen trillion, one hundred five billion, eleven million, one hundred twenty-five thousand, fifty".