65123146706040 has 256 divisors, whose sum is σ = 232375193280000. Its totient is φ = 16173312850944.

The previous prime is 65123146706039. The next prime is 65123146706071. The reversal of 65123146706040 is 4060764132156.

65123146706040 is a `hidden beast` number, since 6 + 5 + 1 + 2 + 31 + 4 + 6 + 7 + 0 + 604 + 0 = 666.

65123146706040 is digitally balanced in base 2, 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25684597 + ... + 28105956.

It is an arithmetic number, because the mean of its divisors is an integer number (907715598750).

Almost surely, 2^{65123146706040} is an apocalyptic number.

65123146706040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65123146706040 is an abundant number, since it is smaller than the sum of its proper divisors (167252046573960).

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

65123146706040 is a wasteful number, since it uses less digits than its factorization.

65123146706040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53790651 (or 53790641 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 65123146706040 in words is "sixty-five trillion, one hundred twenty-three billion, one hundred forty-six million, seven hundred six thousand, forty".