2146612123656 has 768 divisors, whose sum is σ = 8273402726400. Its totient is φ = 498021696000.

The previous prime is 2146612123639. The next prime is 2146612123699. The reversal of 2146612123656 is 6563212166412.

2146612123656 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 612 + 1 + 23 + 6 + 5 + 6 = 666.

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, 207778411 + ... + 207788741.

It is an arithmetic number, because the mean of its divisors is an integer number (10772659800).

Almost surely, 2^{2146612123656} is an apocalyptic number.

2146612123656 is a gapful number since it is divisible by the number (26) 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 2146612123656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136701363200).

2146612123656 is an abundant number, since it is smaller than the sum of its proper divisors (6126790602744).

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

2146612123656 is a wasteful number, since it uses less digits than its factorization.

2146612123656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10439 (or 10398 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 2146612123656 in words is "two trillion, one hundred forty-six billion, six hundred twelve million, one hundred twenty-three thousand, six hundred fifty-six".