13168812545460 has 672 divisors, whose sum is σ = 50028352924032. Its totient is φ = 2867205288960.

The previous prime is 13168812545453. The next prime is 13168812545491. The reversal of 13168812545460 is 6454521886131.

13168812545460 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 8 + 8 + 125 + 454 + 60 = 666.

It is a super-2 number, since 2×13168812545460² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13168812545397 and 13168812545406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 77057427 + ... + 77228133.

It is an arithmetic number, because the mean of its divisors is an integer number (74446953756).

Almost surely, 2^{13168812545460} is an apocalyptic number.

13168812545460 is a gapful number since it is divisible by the number (10) 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 13168812545460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25014176462016).

13168812545460 is an abundant number, since it is smaller than the sum of its proper divisors (36859540378572).

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

13168812545460 is a wasteful number, since it uses less digits than its factorization.

13168812545460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170795 (or 170778 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 13168812545460 in words is "thirteen trillion, one hundred sixty-eight billion, eight hundred twelve million, five hundred forty-five thousand, four hundred sixty".