535542948864 has 1155 divisors, whose sum is σ = 2053873017435. Its totient is φ = 139102064640.

The previous prime is 535542948859. The next prime is 535542948881. The reversal of 535542948864 is 468849245535.

The square root of 535542948864 is 731808.

It is a perfect power (a square), and thus also a powerful number.

535542948864 is a `hidden beast` number, since 5 + 3 + 5 + 542 + 9 + 4 + 8 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (165888000) is a multiple of the sum of its prime factors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 48685722619 + ... + 48685722629.

Almost surely, 2^535542948864 is an apocalyptic number.

535542948864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

535542948864 is the 731808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535542948864

535542948864 is an abundant number, since it is smaller than the sum of its proper divisors (1518330068571).

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

535542948864 is an frugal number, since it uses more digits than its factorization.

535542948864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 23 counting only the distinct ones).

The product of its digits is 165888000, while the sum is 63.

The spelling of 535542948864 in words is "five hundred thirty-five billion, five hundred forty-two million, nine hundred forty-eight thousand, eight hundred sixty-four".