1480191699168 has 768 divisors, whose sum is σ = 5773772390400. Its totient is φ = 357892577280.

The previous prime is 1480191699139. The next prime is 1480191699229. The reversal of 1480191699168 is 8619961910841.

1480191699168 is a `hidden beast` number, since 1 + 480 + 1 + 9 + 1 + 6 + 9 + 91 + 68 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 46293555 + ... + 46325517.

It is an arithmetic number, because the mean of its divisors is an integer number (7517932800).

Almost surely, 2^{1480191699168} is an apocalyptic number.

1480191699168 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 1480191699168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886886195200).

1480191699168 is an abundant number, since it is smaller than the sum of its proper divisors (4293580691232).

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

1480191699168 is a wasteful number, since it uses less digits than its factorization.

1480191699168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32052 (or 32038 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 63.

The spelling of 1480191699168 in words is "one trillion, four hundred eighty billion, one hundred ninety-one million, six hundred ninety-nine thousand, one hundred sixty-eight".