534246066146100 has 288 divisors, whose sum is σ = 1927333114785792. Its totient is φ = 111002846400000.

The previous prime is 534246066146033. The next prime is 534246066146137. The reversal of 534246066146100 is 1641660642435.

It is a self number, because there is not a number n which added to its sum of digits gives 534246066146100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 275795925 + ... + 277726275.

It is an arithmetic number, because the mean of its divisors is an integer number (6692128870784).

Almost surely, 2^{534246066146100} is an apocalyptic number.

534246066146100 is a gapful number since it is divisible by the number (50) 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 534246066146100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963666557392896).

534246066146100 is an abundant number, since it is smaller than the sum of its proper divisors (1393087048639692).

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

534246066146100 is a wasteful number, since it uses less digits than its factorization.

534246066146100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942367 (or 1942360 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 534246066146100 in words is "five hundred thirty-four trillion, two hundred forty-six billion, sixty-six million, one hundred forty-six thousand, one hundred".