8124143664 has 240 divisors, whose sum is σ = 26154254592. Its totient is φ = 2127670272.

The previous prime is 8124143659. The next prime is 8124143711. The reversal of 8124143664 is 4663414218.

It is a super-2 number, since 2×8124143664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9823219 + ... + 9824045.

Almost surely, 2^8124143664 is an apocalyptic number.

8124143664 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 8124143664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13077127296).

8124143664 is an abundant number, since it is smaller than the sum of its proper divisors (18030110928).

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

8124143664 is a wasteful number, since it uses less digits than its factorization.

8124143664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1025 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 8124143664 is about 90134.0316639614. The cubic root of 8124143664 is about 2010.2922492805.

The spelling of 8124143664 in words is "eight billion, one hundred twenty-four million, one hundred forty-three thousand, six hundred sixty-four".