1281949410168 has 224 divisors, whose sum is σ = 4135109650560. Its totient is φ = 364809096000.

The previous prime is 1281949410121. The next prime is 1281949410169. The reversal of 1281949410168 is 8610149491821.

1281949410168 is a `hidden beast` number, since 1 + 2 + 81 + 9 + 494 + 10 + 1 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1281949410169) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10184271 + ... + 10309377.

It is an arithmetic number, because the mean of its divisors is an integer number (18460310940).

Almost surely, 2^{1281949410168} is an apocalyptic number.

1281949410168 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 1281949410168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067554825280).

1281949410168 is an abundant number, since it is smaller than the sum of its proper divisors (2853160240392).

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

1281949410168 is a wasteful number, since it uses less digits than its factorization.

1281949410168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125389 (or 125370 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 1281949410168 in words is "one trillion, two hundred eighty-one billion, nine hundred forty-nine million, four hundred ten thousand, one hundred sixty-eight".