8131604544 has 336 divisors, whose sum is σ = 27935870976. Its totient is φ = 2212531200.

The previous prime is 8131604501. The next prime is 8131604549. The reversal of 8131604544 is 4454061318.

8131604544 is a `hidden beast` number, since 8 + 1 + 3 + 1 + 604 + 5 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×8131604544² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8131604499 and 8131604508.

It is not an unprimeable number, because it can be changed into a prime (8131604549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8373979 + ... + 8374949.

Almost surely, 2^8131604544 is an apocalyptic number.

8131604544 is a gapful number since it is divisible by the number (84) 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 8131604544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13967935488).

8131604544 is an abundant number, since it is smaller than the sum of its proper divisors (19804266432).

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

8131604544 is a wasteful number, since it uses less digits than its factorization.

8131604544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8131604544 is about 90175.4098632216. The cubic root of 8131604544 is about 2010.9074509497.

The spelling of 8131604544 in words is "eight billion, one hundred thirty-one million, six hundred four thousand, five hundred forty-four".