561162491136 has 576 divisors, whose sum is σ = 1817230464000. Its totient is φ = 169786368000.

The previous prime is 561162491119. The next prime is 561162491159. The reversal of 561162491136 is 631194261165.

561162491136 is a `hidden beast` number, since 5 + 6 + 1 + 1 + 624 + 9 + 1 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×561162491136² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 561162491091 and 561162491100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2235707011 + ... + 2235707261.

It is an arithmetic number, because the mean of its divisors is an integer number (3154914000).

Almost surely, 2^561162491136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561162491136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908615232000).

561162491136 is an abundant number, since it is smaller than the sum of its proper divisors (1256067972864).

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

561162491136 is a wasteful number, since it uses less digits than its factorization.

561162491136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 587 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 561162491136 in words is "five hundred sixty-one billion, one hundred sixty-two million, four hundred ninety-one thousand, one hundred thirty-six".