17620738854912 has 312 divisors, whose sum is σ = 51774705193640. Its totient is φ = 5772583895040.

The previous prime is 17620738854911. The next prime is 17620738854923. The reversal of 17620738854912 is 21945883702671.

17620738854912 is a `hidden beast` number, since 1 + 7 + 6 + 2 + 0 + 7 + 3 + 88 + 549 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1774479753216 + 15846259101696 = 1332096^2 + 3980736^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 17620738854912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17620738854911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3726100164 + ... + 3726104892.

It is a 1-persistent number, because it is pandigital, but 2⋅17620738854912 = 35241477709824 is not.

Almost surely, 2^{17620738854912} is an apocalyptic number.

17620738854912 is a gapful number since it is divisible by the number (12) 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 17620738854912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25887352596820).

17620738854912 is an abundant number, since it is smaller than the sum of its proper divisors (34153966338728).

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

17620738854912 is a wasteful number, since it uses less digits than its factorization.

17620738854912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6477 (or 6452 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 17620738854912 in words is "seventeen trillion, six hundred twenty billion, seven hundred thirty-eight million, eight hundred fifty-four thousand, nine hundred twelve".