130667022379488 has 768 divisors, whose sum is σ = 416628817920000. Its totient is φ = 35804794798080.

The previous prime is 130667022379469. The next prime is 130667022379489. The reversal of 130667022379488 is 884973220766031.

It is a super-3 number, since 3×130667022379488³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130667022379489) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57486590320 + ... + 57486592592.

It is an arithmetic number, because the mean of its divisors is an integer number (542485440000).

Almost surely, 2^{130667022379488} 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 130667022379488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208314408960000).

130667022379488 is an abundant number, since it is smaller than the sum of its proper divisors (285961795540512).

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

130667022379488 is a wasteful number, since it uses less digits than its factorization.

130667022379488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 66.

The spelling of 130667022379488 in words is "one hundred thirty trillion, six hundred sixty-seven billion, twenty-two million, three hundred seventy-nine thousand, four hundred eighty-eight".