114664415040 has 336 divisors, whose sum is σ = 451150622208. Its totient is φ = 26185162752.

The previous prime is 114664415039. The next prime is 114664415071. The reversal of 114664415040 is 40514466411.

114664415040 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 644 + 1 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 114664414986 and 114664415004.

It is a congruent number.

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, 31911484 + ... + 31915076.

Almost surely, 2^114664415040 is an apocalyptic number.

114664415040 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 114664415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225575311104).

114664415040 is an abundant number, since it is smaller than the sum of its proper divisors (336486207168).

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

114664415040 is a wasteful number, since it uses less digits than its factorization.

114664415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 114664415040 in words is "one hundred fourteen billion, six hundred sixty-four million, four hundred fifteen thousand, forty".