130849076365632 has 560 divisors, whose sum is σ = 432486758088000. Its totient is φ = 38874179321856.

The previous prime is 130849076365621. The next prime is 130849076365697. The reversal of 130849076365632 is 236563670948031.

130849076365632 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 4 + 9 + 0 + 7 + 63 + 6 + 563 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 130849076365632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4452299994 + ... + 4452329382.

It is an arithmetic number, because the mean of its divisors is an integer number (772297782300).

It is a 1-persistent number, because it is pandigital, but 2⋅130849076365632 = 261698152731264 is not.

Almost surely, 2^{130849076365632} is an apocalyptic number.

130849076365632 is a gapful number since it is divisible by the number (12) 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 130849076365632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216243379044000).

130849076365632 is an abundant number, since it is smaller than the sum of its proper divisors (301637681722368).

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

130849076365632 is a wasteful number, since it uses less digits than its factorization.

130849076365632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32108 (or 32089 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 130849076365632 in words is "one hundred thirty trillion, eight hundred forty-nine billion, seventy-six million, three hundred sixty-five thousand, six hundred thirty-two".