2129526466848 has 360 divisors, whose sum is σ = 6890412868416. Its totient is φ = 644709162240.

The previous prime is 2129526466807. The next prime is 2129526466871. The reversal of 2129526466848 is 8486646259212.

2129526466848 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 526 + 4 + 6 + 68 + 48 = 666.

It is a super-2 number, since 2×2129526466848² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 428732461 + ... + 428737427.

Almost surely, 2^{2129526466848} 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 2129526466848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445206434208).

2129526466848 is an abundant number, since it is smaller than the sum of its proper divisors (4760886401568).

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

2129526466848 is a wasteful number, since it uses less digits than its factorization.

2129526466848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6378 (or 6350 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 2129526466848 in words is "two trillion, one hundred twenty-nine billion, five hundred twenty-six million, four hundred sixty-six thousand, eight hundred forty-eight".