8131357414908 has 864 divisors, whose sum is σ = 27706532293440. Its totient is φ = 1986933473280.

The previous prime is 8131357414891. The next prime is 8131357414949. The reversal of 8131357414908 is 8094147531318.

8131357414908 is a `hidden beast` number, since 8 + 1 + 3 + 135 + 7 + 414 + 90 + 8 = 666.

It is a super-2 number, since 2×8131357414908² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5235902260 + ... + 5235903812.

It is an arithmetic number, because the mean of its divisors is an integer number (32067745710).

Almost surely, 2^{8131357414908} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8131357414908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13853266146720).

8131357414908 is an abundant number, since it is smaller than the sum of its proper divisors (19575174878532).

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

8131357414908 is a wasteful number, since it uses less digits than its factorization.

8131357414908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 8131357414908 in words is "eight trillion, one hundred thirty-one billion, three hundred fifty-seven million, four hundred fourteen thousand, nine hundred eight".