535047498216 has 512 divisors, whose sum is σ = 1965797683200. Its totient is φ = 130543902720.

The previous prime is 535047498197. The next prime is 535047498241. The reversal of 535047498216 is 612894740535.

It is a happy number.

535047498216 is a `hidden beast` number, since 5 + 3 + 504 + 7 + 49 + 82 + 16 = 666.

535047498216 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 174451515 + ... + 174454581.

It is an arithmetic number, because the mean of its divisors is an integer number (3839448600).

It is a 1-persistent number, because it is pandigital, but 2⋅535047498216 = 1070094996432 is not.

Almost surely, 2^535047498216 is an apocalyptic number.

535047498216 is a gapful number since it is divisible by the number (56) 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 535047498216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982898841600).

535047498216 is an abundant number, since it is smaller than the sum of its proper divisors (1430750184984).

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

535047498216 is a wasteful number, since it uses less digits than its factorization.

535047498216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 535047498216 in words is "five hundred thirty-five billion, forty-seven million, four hundred ninety-eight thousand, two hundred sixteen".