8132059136448 has 672 divisors, whose sum is σ = 26796109756416. Its totient is φ = 2429405540352.

The previous prime is 8132059136437. The next prime is 8132059136459. The reversal of 8132059136448 is 8446319502318.

It is a happy number.

8132059136448 is a `hidden beast` number, since 8 + 1 + 3 + 2 + 0 + 591 + 3 + 6 + 4 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (8132059136437) and next prime (8132059136459).

It is a super-2 number, since 2×8132059136448² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8132059136394 and 8132059136403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1503984561 + ... + 1503989967.

It is an arithmetic number, because the mean of its divisors is an integer number (39875163328).

Almost surely, 2^{8132059136448} 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 8132059136448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13398054878208).

8132059136448 is an abundant number, since it is smaller than the sum of its proper divisors (18664050619968).

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

8132059136448 is a wasteful number, since it uses less digits than its factorization.

8132059136448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5663 (or 5641 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 8132059136448 in words is "eight trillion, one hundred thirty-two billion, fifty-nine million, one hundred thirty-six thousand, four hundred forty-eight".