131778345778848 has 72 divisors (see below), whose sum is σ = 374769178056000. Its totient is φ = 43923242615424.

The previous prime is 131778345778829. The next prime is 131778345778889. The reversal of 131778345778848 is 848877543877131.

131778345778848 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 7 + 8 + 34 + 577 + 8 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10547928 + ... + 19360151.

It is an arithmetic number, because the mean of its divisors is an integer number (5205127473000).

Almost surely, 2^{131778345778848} is an apocalyptic number.

131778345778848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131778345778848 is an abundant number, since it is smaller than the sum of its proper divisors (242990832277152).

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

131778345778848 is a wasteful number, since it uses less digits than its factorization.

131778345778848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29923394 (or 29923383 counting only the distinct ones).

The product of its digits is 7080837120, while the sum is 81.

The spelling of 131778345778848 in words is "one hundred thirty-one trillion, seven hundred seventy-eight billion, three hundred forty-five million, seven hundred seventy-eight thousand, eight hundred forty-eight".