8157259448928 has 144 divisors (see below), whose sum is σ = 23226680969856. Its totient is φ = 2715634114560.

The previous prime is 8157259448917. The next prime is 8157259448981. The reversal of 8157259448928 is 8298449527518.

8157259448928 is a `hidden beast` number, since 8 + 1 + 5 + 7 + 2 + 594 + 4 + 8 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 846974673 + ... + 846984303.

It is an arithmetic number, because the mean of its divisors is an integer number (161296395624).

Almost surely, 2^{8157259448928} is an apocalyptic number.

It is an amenable number.

8157259448928 is an abundant number, since it is smaller than the sum of its proper divisors (15069421520928).

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

8157259448928 is a wasteful number, since it uses less digits than its factorization.

8157259448928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13077 (or 13066 counting only the distinct ones).

The product of its digits is 464486400, while the sum is 72.

The spelling of 8157259448928 in words is "eight trillion, one hundred fifty-seven billion, two hundred fifty-nine million, four hundred forty-eight thousand, nine hundred twenty-eight".