114606454252050 has 144 divisors (see below), whose sum is σ = 311097334329600. Its totient is φ = 30245322654720.

The previous prime is 114606454251967. The next prime is 114606454252139. The reversal of 114606454252050 is 50252454606411.

114606454252050 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 0 + 6 + 4 + 542 + 52 + 0 + 50 = 666.

114606454252050 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×114606454252050³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 114606454251987 and 114606454252005.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1361095851 + ... + 1361180049.

Almost surely, 2^{114606454252050} is an apocalyptic number.

114606454252050 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 114606454252050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155548667164800).

114606454252050 is an abundant number, since it is smaller than the sum of its proper divisors (196490880077550).

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

114606454252050 is a wasteful number, since it uses less digits than its factorization.

114606454252050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115497 (or 115489 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 114606454252050 in words is "one hundred fourteen trillion, six hundred six billion, four hundred fifty-four million, two hundred fifty-two thousand, fifty".