10626112324716 has 384 divisors, whose sum is σ = 29702627942400. Its totient is φ = 2894340833280.

The previous prime is 10626112324703. The next prime is 10626112324733. The reversal of 10626112324716 is 61742321162601.

It is a super-2 number, since 2×10626112324716² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9074390811 + ... + 9074391981.

It is an arithmetic number, because the mean of its divisors is an integer number (77350593600).

Almost surely, 2^{10626112324716} 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 10626112324716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14851313971200).

10626112324716 is an abundant number, since it is smaller than the sum of its proper divisors (19076515617684).

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

10626112324716 is a wasteful number, since it uses less digits than its factorization.

10626112324716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 10626112324716 in words is "ten trillion, six hundred twenty-six billion, one hundred twelve million, three hundred twenty-four thousand, seven hundred sixteen".