131784008326416 has 240 divisors, whose sum is σ = 379625993809920. Its totient is φ = 42645404067840.

The previous prime is 131784008326357. The next prime is 131784008326417. The reversal of 131784008326416 is 614623800487131.

131784008326416 is a `hidden beast` number, since 1 + 3 + 178 + 400 + 8 + 3 + 2 + 64 + 1 + 6 = 666.

It is a super-3 number, since 3×131784008326416³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131784008326417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5200003441 + ... + 5200028783.

It is an arithmetic number, because the mean of its divisors is an integer number (1581774974208).

Almost surely, 2^{131784008326416} is an apocalyptic number.

131784008326416 is a gapful number since it is divisible by the number (16) 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 131784008326416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189812996904960).

131784008326416 is an abundant number, since it is smaller than the sum of its proper divisors (247841985483504).

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

131784008326416 is a wasteful number, since it uses less digits than its factorization.

131784008326416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27534 (or 27525 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 131784008326416 in words is "one hundred thirty-one trillion, seven hundred eighty-four billion, eight million, three hundred twenty-six thousand, four hundred sixteen".