6329144623104 has 360 divisors, whose sum is σ = 19042007816832. Its totient is φ = 2023426621440.

The previous prime is 6329144623099. The next prime is 6329144623121. The reversal of 6329144623104 is 4013264419236.

6329144623104 is a `hidden beast` number, since 6 + 3 + 2 + 9 + 1 + 4 + 4 + 623 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6329144623104.

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, 516532242 + ... + 516544494.

Almost surely, 2^{6329144623104} is an apocalyptic number.

6329144623104 is a gapful number since it is divisible by the number (64) 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 6329144623104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9521003908416).

6329144623104 is an abundant number, since it is smaller than the sum of its proper divisors (12712863193728).

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

6329144623104 is a wasteful number, since it uses less digits than its factorization.

6329144623104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12431 (or 12402 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 6329144623104 in words is "six trillion, three hundred twenty-nine billion, one hundred forty-four million, six hundred twenty-three thousand, one hundred four".