614126146426144 has 192 divisors, whose sum is σ = 1406842333787520. Its totient is φ = 260794455736320.

The previous prime is 614126146426031. The next prime is 614126146426171. The reversal of 614126146426144 is 441624641621416.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 614126146426091 and 614126146426100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5300850522 + ... + 5300966374.

It is an arithmetic number, because the mean of its divisors is an integer number (7327303821810).

Almost surely, 2^{614126146426144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 614126146426144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703421166893760).

614126146426144 is an abundant number, since it is smaller than the sum of its proper divisors (792716187361376).

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

614126146426144 is a wasteful number, since it uses less digits than its factorization.

614126146426144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122403 (or 122395 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 52.

The spelling of 614126146426144 in words is "six hundred fourteen trillion, one hundred twenty-six billion, one hundred forty-six million, four hundred twenty-six thousand, one hundred forty-four".