534535556646528 has 384 divisors, whose sum is σ = 1642823369066880. Its totient is φ = 166423787937792.

The previous prime is 534535556646521. The next prime is 534535556646547. The reversal of 534535556646528 is 825646655535435.

It is a happy number.

534535556646528 is a `hidden beast` number, since 5 + 3 + 4 + 5 + 3 + 5 + 5 + 56 + 6 + 46 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×534535556646528² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (534535556646521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4417114150 + ... + 4417235162.

It is an arithmetic number, because the mean of its divisors is an integer number (4278185856945).

Almost surely, 2^{534535556646528} 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 534535556646528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821411684533440).

534535556646528 is an abundant number, since it is smaller than the sum of its proper divisors (1108287812420352).

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

534535556646528 is a wasteful number, since it uses less digits than its factorization.

534535556646528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124976 (or 124961 counting only the distinct ones).

The product of its digits is 7776000000, while the sum is 72.

The spelling of 534535556646528 in words is "five hundred thirty-four trillion, five hundred thirty-five billion, five hundred fifty-six million, six hundred forty-six thousand, five hundred twenty-eight".