114006276044640 has 960 divisors, whose sum is σ = 466995269220480. Its totient is φ = 25654778265600.

The previous prime is 114006276044627. The next prime is 114006276044659. The reversal of 114006276044640 is 46440672600411.

114006276044640 is a `hidden beast` number, since 1 + 1 + 40 + 0 + 62 + 76 + 0 + 446 + 40 = 666.

114006276044640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1881230340 + ... + 1881290940.

It is an arithmetic number, because the mean of its divisors is an integer number (486453405438).

Almost surely, 2^{114006276044640} is an apocalyptic number.

114006276044640 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 114006276044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233497634610240).

114006276044640 is an abundant number, since it is smaller than the sum of its proper divisors (352988993175840).

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

114006276044640 is a wasteful number, since it uses less digits than its factorization.

114006276044640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60957 (or 60940 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 114006276044640 in words is "one hundred fourteen trillion, six billion, two hundred seventy-six million, forty-four thousand, six hundred forty".