1253566461168 has 240 divisors, whose sum is σ = 4186596850176. Its totient is φ = 342356129280.

The previous prime is 1253566461139. The next prime is 1253566461209. The reversal of 1253566461168 is 8611646653521.

1253566461168 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 566 + 4 + 6 + 11 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35477046 + ... + 35512362.

Almost surely, 2^{1253566461168} is an apocalyptic number.

1253566461168 is a gapful number since it is divisible by the number (18) 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 1253566461168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093298425088).

1253566461168 is an abundant number, since it is smaller than the sum of its proper divisors (2933030389008).

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

1253566461168 is a wasteful number, since it uses less digits than its factorization.

1253566461168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36892 (or 36883 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 1253566461168 in words is "one trillion, two hundred fifty-three billion, five hundred sixty-six million, four hundred sixty-one thousand, one hundred sixty-eight".