534000114648 has 1728 divisors, whose sum is σ = 2168780140800. Its totient is φ = 120092544000.

The previous prime is 534000114589. The next prime is 534000114671. The reversal of 534000114648 is 846411000435.

534000114648 is a `hidden beast` number, since 5 + 3 + 4 + 0 + 0 + 0 + 1 + 1 + 4 + 648 = 666.

It is a super-2 number, since 2×534000114648² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5287129798 + ... + 5287129898.

It is an arithmetic number, because the mean of its divisors is an integer number (1255081100).

Almost surely, 2^534000114648 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 534000114648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084390070400).

534000114648 is an abundant number, since it is smaller than the sum of its proper divisors (1634780026152).

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

534000114648 is a wasteful number, since it uses less digits than its factorization.

534000114648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 534000114648 in words is "five hundred thirty-four billion, one hundred fourteen thousand, six hundred forty-eight".