535474364544 has 1008 divisors, whose sum is σ = 1994010167070. Its totient is φ = 142258249728.

The previous prime is 535474364501. The next prime is 535474364549. The reversal of 535474364544 is 445463474535.

535474364544 is a `hidden beast` number, since 5 + 3 + 54 + 7 + 43 + 6 + 4 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 393731150400 + 141743214144 = 627480^2 + 376488^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

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

Its product of digits (48384000) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535474364549) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 6451498327 + ... + 6451498409.

Almost surely, 2^535474364544 is an apocalyptic number.

535474364544 is a gapful number since it is divisible by the number (54) 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 535474364544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997005083535).

535474364544 is an abundant number, since it is smaller than the sum of its proper divisors (1458535802526).

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

535474364544 is an frugal number, since it uses more digits than its factorization.

535474364544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 112 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 54.

The spelling of 535474364544 in words is "five hundred thirty-five billion, four hundred seventy-four million, three hundred sixty-four thousand, five hundred forty-four".