504452132053344 has 144 divisors (see below), whose sum is σ = 1488581103417408. Its totient is φ = 168047356309632.

The previous prime is 504452132053241. The next prime is 504452132053357. The reversal of 504452132053344 is 443350231254405.

504452132053344 is a `hidden beast` number, since 5 + 0 + 4 + 4 + 52 + 1 + 3 + 20 + 533 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 504452132053344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7284822 + ... + 32587925.

It is an arithmetic number, because the mean of its divisors is an integer number (10337368773732).

Almost surely, 2^{504452132053344} is an apocalyptic number.

504452132053344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

504452132053344 is an abundant number, since it is smaller than the sum of its proper divisors (984128971364064).

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

504452132053344 is a wasteful number, since it uses less digits than its factorization.

504452132053344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39874399 (or 39874379 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 504452132053344 in words is "five hundred four trillion, four hundred fifty-two billion, one hundred thirty-two million, fifty-three thousand, three hundred forty-four".