8155431648 has 576 divisors, whose sum is σ = 30104524800. Its totient is φ = 2102630400.

The previous prime is 8155431637. The next prime is 8155431673. The reversal of 8155431648 is 8461345518.

8155431648 = 429³ + 430³ + ... + 507³.

8155431648 is a `hidden beast` number, since 8 + 1 + 554 + 31 + 64 + 8 = 666.

It is a super-3 number, since 3×8155431648³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80746798 + ... + 80746898.

It is an arithmetic number, because the mean of its divisors is an integer number (52264800).

Almost surely, 2^8155431648 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 8155431648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15052262400).

8155431648 is an abundant number, since it is smaller than the sum of its proper divisors (21949093152).

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

8155431648 is a wasteful number, since it uses less digits than its factorization.

8155431648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 205 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 8155431648 is about 90307.4285316551. The cubic root of 8155431648 is about 2012.8696458108.

The spelling of 8155431648 in words is "eight billion, one hundred fifty-five million, four hundred thirty-one thousand, six hundred forty-eight".