131216627662848 has 2040 divisors, whose sum is σ = 497253749856864. Its totient is φ = 33572970823680.

The previous prime is 131216627662763. The next prime is 131216627662859. The reversal of 131216627662848 is 848266726612131.

131216627662848 is a `hidden beast` number, since 1 + 3 + 1 + 21 + 66 + 276 + 6 + 284 + 8 = 666.

It is a super-2 number, since 2×131216627662848² (a number of 29 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1797488050140 + ... + 1797488050212.

Almost surely, 2^{131216627662848} is an apocalyptic number.

131216627662848 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 131216627662848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248626874928432).

131216627662848 is an abundant number, since it is smaller than the sum of its proper divisors (366037122194016).

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

131216627662848 is an frugal number, since it uses more digits than its factorization.

131216627662848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 159 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 131216627662848 in words is "one hundred thirty-one trillion, two hundred sixteen billion, six hundred twenty-seven million, six hundred sixty-two thousand, eight hundred forty-eight".