2126146369536 has 288 divisors, whose sum is σ = 7106812876800. Its totient is φ = 599778017280.

The previous prime is 2126146369513. The next prime is 2126146369559. The reversal of 2126146369536 is 6359636416212.

2126146369536 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 1 + 46 + 3 + 69 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (2126146369513) and next prime (2126146369559).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2126146369536² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10088601 + ... + 10297191.

It is an arithmetic number, because the mean of its divisors is an integer number (24676433600).

Almost surely, 2^{2126146369536} 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 2126146369536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553406438400).

2126146369536 is an abundant number, since it is smaller than the sum of its proper divisors (4980666507264).

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

2126146369536 is a wasteful number, since it uses less digits than its factorization.

2126146369536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208705 (or 208682 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 2126146369536 in words is "two trillion, one hundred twenty-six billion, one hundred forty-six million, three hundred sixty-nine thousand, five hundred thirty-six".