3871268535456 has 768 divisors, whose sum is σ = 14073937920000. Its totient is φ = 1011430748160.

The previous prime is 3871268535443. The next prime is 3871268535467. The reversal of 3871268535456 is 6545358621783.

3871268535456 is a `hidden beast` number, since 3 + 8 + 7 + 1 + 2 + 6 + 85 + 3 + 545 + 6 = 666.

3871268535456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3871268535456² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3871268535393 and 3871268535402.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 255538570 + ... + 255553718.

It is an arithmetic number, because the mean of its divisors is an integer number (18325440000).

Almost surely, 2^{3871268535456} is an apocalyptic number.

3871268535456 is a gapful number since it is divisible by the number (36) 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 3871268535456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7036968960000).

3871268535456 is an abundant number, since it is smaller than the sum of its proper divisors (10202669384544).

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

3871268535456 is a wasteful number, since it uses less digits than its factorization.

3871268535456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15282 (or 15268 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 63.

The spelling of 3871268535456 in words is "three trillion, eight hundred seventy-one billion, two hundred sixty-eight million, five hundred thirty-five thousand, four hundred fifty-six".