114647373023040 has 1344 divisors, whose sum is σ = 479771195904000. Its totient is φ = 24756490321920.

The previous prime is 114647373023033. The next prime is 114647373023063. The reversal of 114647373023040 is 40320373746411.

114647373023040 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 4 + 7 + 37 + 302 + 304 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 1469817961 + ... + 1469895959.

It is an arithmetic number, because the mean of its divisors is an integer number (356972616000).

Almost surely, 2^{114647373023040} is an apocalyptic number.

114647373023040 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 114647373023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239885597952000).

114647373023040 is an abundant number, since it is smaller than the sum of its proper divisors (365123822880960).

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

114647373023040 is a wasteful number, since it uses less digits than its factorization.

114647373023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78172 (or 78159 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 114647373023040 in words is "one hundred fourteen trillion, six hundred forty-seven billion, three hundred seventy-three million, twenty-three thousand, forty".