10612273206744 has 192 divisors, whose sum is σ = 32031552384000. Its totient is φ = 3146436034560.

The previous prime is 10612273206739. The next prime is 10612273206763. The reversal of 10612273206744 is 44760237221601.

10612273206744 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 227 + 320 + 67 + 44 = 666.

It is a super-3 number, since 3×10612273206744³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10612273206744.

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 47 ways as a sum of consecutive naturals, for example, 123875877 + ... + 123961515.

It is an arithmetic number, because the mean of its divisors is an integer number (166831002000).

Almost surely, 2^{10612273206744} 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 10612273206744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16015776192000).

10612273206744 is an abundant number, since it is smaller than the sum of its proper divisors (21419279177256).

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

10612273206744 is a wasteful number, since it uses less digits than its factorization.

10612273206744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89038 (or 89031 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 10612273206744 in words is "ten trillion, six hundred twelve billion, two hundred seventy-three million, two hundred six thousand, seven hundred forty-four".