561353434588764 has 96 divisors (see below), whose sum is σ = 1491928859984640. Its totient is φ = 182432108948544.

The previous prime is 561353434588763. The next prime is 561353434588777. The reversal of 561353434588764 is 467885434353165.

561353434588764 is a `hidden beast` number, since 5 + 6 + 1 + 3 + 5 + 3 + 4 + 34 + 588 + 7 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 561353434588692 and 561353434588701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561353434588763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107950719 + ... + 113031254.

It is an arithmetic number, because the mean of its divisors is an integer number (15540925624840).

Almost surely, 2^{561353434588764} is an apocalyptic number.

561353434588764 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

561353434588764 is an abundant number, since it is smaller than the sum of its proper divisors (930575425395876).

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

561353434588764 is a wasteful number, since it uses less digits than its factorization.

561353434588764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220982576 (or 220982568 counting only the distinct ones).

The product of its digits is 3483648000, while the sum is 72.

The spelling of 561353434588764 in words is "five hundred sixty-one trillion, three hundred fifty-three billion, four hundred thirty-four million, five hundred eighty-eight thousand, seven hundred sixty-four".