101481309468 has 540 divisors, whose sum is σ = 340632254144. Its totient is φ = 25427001600.

The previous prime is 101481309361. The next prime is 101481309487. The reversal of 101481309468 is 864903184101.

101481309468 is a `hidden beast` number, since 10 + 1 + 48 + 130 + 9 + 468 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 324221280 + ... + 324221592.

Almost surely, 2^101481309468 is an apocalyptic number.

101481309468 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 101481309468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170316127072).

101481309468 is an abundant number, since it is smaller than the sum of its proper divisors (239150944676).

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

101481309468 is a wasteful number, since it uses less digits than its factorization.

101481309468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 101481309468 in words is "one hundred one billion, four hundred eighty-one million, three hundred nine thousand, four hundred sixty-eight".