4149456093981 has 96 divisors (see below), whose sum is σ = 6940327680000. Its totient is φ = 2362588300800.

The previous prime is 4149456093977. The next prime is 4149456093989. The reversal of 4149456093981 is 1893906549414.

4149456093981 is a `hidden beast` number, since 4 + 1 + 4 + 9 + 456 + 0 + 93 + 98 + 1 = 666.

It is not a de Polignac number, because 4149456093981 - 2² = 4149456093977 is a prime.

It is a super-2 number, since 2×4149456093981² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4149456093989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108324570 + ... + 108362868.

It is an arithmetic number, because the mean of its divisors is an integer number (72295080000).

Almost surely, 2^{4149456093981} is an apocalyptic number.

It is an amenable number.

4149456093981 is a deficient number, since it is larger than the sum of its proper divisors (2790871586019).

4149456093981 is a wasteful number, since it uses less digits than its factorization.

4149456093981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38815 (or 38812 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 4149456093981 in words is "four trillion, one hundred forty-nine billion, four hundred fifty-six million, ninety-three thousand, nine hundred eighty-one".