80153048448 has 672 divisors, whose sum is σ = 272828539200. Its totient is φ = 23402649600.

The previous prime is 80153048431. The next prime is 80153048471. The reversal of 80153048448 is 84484035108.

80153048448 is a `hidden beast` number, since 80 + 1 + 53 + 0 + 484 + 48 = 666.

It is a super-2 number, since 2×80153048448² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 350013198 + ... + 350013426.

It is an arithmetic number, because the mean of its divisors is an integer number (405994850).

Almost surely, 2^80153048448 is an apocalyptic number.

80153048448 is a gapful number since it is divisible by the number (88) 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 80153048448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136414269600).

80153048448 is an abundant number, since it is smaller than the sum of its proper divisors (192675490752).

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

80153048448 is a wasteful number, since it uses less digits than its factorization.

80153048448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 80153048448 in words is "eighty billion, one hundred fifty-three million, forty-eight thousand, four hundred forty-eight".