114491361600 has 1890 divisors, whose sum is σ = 541712105550. Its totient is φ = 23630745600.

The previous prime is 114491361581. The next prime is 114491361617. The reversal of 114491361600 is 6163194411.

114491361600 = 1750³ + 1751³ + ... + 1770³.

114491361600 is a `hidden beast` number, since 1 + 1 + 4 + 49 + 1 + 3 + 6 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 122943744 + 114368417856 = 11088^2 + 338184^2 .

It is a tau number, because it is divible by the number of its divisors (1890).

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 269 ways as a sum of consecutive naturals, for example, 768398326 + ... + 768398474.

Almost surely, 2^114491361600 is an apocalyptic number.

114491361600 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 114491361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270856052775).

114491361600 is an abundant number, since it is smaller than the sum of its proper divisors (427220743950).

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

114491361600 is a wasteful number, since it uses less digits than its factorization.

114491361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 114491361600 in words is "one hundred fourteen billion, four hundred ninety-one million, three hundred sixty-one thousand, six hundred".