114146524412100 has 144 divisors (see below), whose sum is σ = 367065811492800. Its totient is φ = 30430291023360.

The previous prime is 114146524412077. The next prime is 114146524412117. The reversal of 114146524412100 is 1214425641411.

114146524412100 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 4 + 6 + 524 + 4 + 121 + 0 + 0 = 666.

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

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, 3263916 + ... + 15457884.

Almost surely, 2^{114146524412100} is an apocalyptic number.

114146524412100 is a gapful number since it is divisible by the number (10) 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 114146524412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183532905746400).

114146524412100 is an abundant number, since it is smaller than the sum of its proper divisors (252919287080700).

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

114146524412100 is a wasteful number, since it uses less digits than its factorization.

114146524412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12197459 (or 12197446 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 114146524412100 in words is "one hundred fourteen trillion, one hundred forty-six billion, five hundred twenty-four million, four hundred twelve thousand, one hundred".