10656123146016 has 192 divisors, whose sum is σ = 29217815617536. Its totient is φ = 3396750796800.

The previous prime is 10656123145933. The next prime is 10656123146051. The reversal of 10656123146016 is 61064132165601.

It is a super-2 number, since 2×10656123146016² (a number of 27 digits) contains 22 as substring.

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, 143111356 + ... + 143185796.

It is an arithmetic number, because the mean of its divisors is an integer number (152176123008).

Almost surely, 2^{10656123146016} is an apocalyptic number.

10656123146016 is a gapful number since it is divisible by the number (16) 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 10656123146016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14608907808768).

10656123146016 is an abundant number, since it is smaller than the sum of its proper divisors (18561692471520).

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

10656123146016 is a wasteful number, since it uses less digits than its factorization.

10656123146016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75055 (or 75047 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 10656123146016 in words is "ten trillion, six hundred fifty-six billion, one hundred twenty-three million, one hundred forty-six thousand, sixteen".