10020846366144 has 336 divisors, whose sum is σ = 29554599499776. Its totient is φ = 3244731955200.

The previous prime is 10020846366071. The next prime is 10020846366161. The reversal of 10020846366144 is 44166364802001.

10020846366144 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 0 + 8 + 4 + 636 + 6 + 1 + 4 + 4 = 666.

10020846366144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10020846366144² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10020846366144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2032211359 + ... + 2032216289.

Almost surely, 2^{10020846366144} 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 10020846366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14777299749888).

10020846366144 is an abundant number, since it is smaller than the sum of its proper divisors (19533753133632).

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

10020846366144 is a wasteful number, since it uses less digits than its factorization.

10020846366144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5544 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 10020846366144 in words is "ten trillion, twenty billion, eight hundred forty-six million, three hundred sixty-six thousand, one hundred forty-four".