534849106132992 has 960 divisors, whose sum is σ = 1848121712640000. Its totient is φ = 134008626216960.

The previous prime is 534849106132963. The next prime is 534849106132993. The reversal of 534849106132992 is 299231601948435.

It is not an unprimeable number, because it can be changed into a prime (534849106132993) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4660977634 + ... + 4661092382.

It is an arithmetic number, because the mean of its divisors is an integer number (1925126784000).

Almost surely, 2^{534849106132992} 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 534849106132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924060856320000).

534849106132992 is an abundant number, since it is smaller than the sum of its proper divisors (1313272606507008).

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

534849106132992 is a wasteful number, since it uses less digits than its factorization.

534849106132992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114860 (or 114834 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 66.

The spelling of 534849106132992 in words is "five hundred thirty-four trillion, eight hundred forty-nine billion, one hundred six million, one hundred thirty-two thousand, nine hundred ninety-two".