6143993856000 has 4800 divisors, whose sum is σ = 31588537204224. Its totient is φ = 1146617856000.

The previous prime is 6143993855971. The next prime is 6143993856017. The reversal of 6143993856000 is 6583993416.

6143993856000 is a `hidden beast` number, since 6 + 1 + 43 + 9 + 9 + 38 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 166053887982 + ... + 166053888018.

Almost surely, 2^{6143993856000} is an apocalyptic number.

6143993856000 is a gapful number since it is divisible by the number (60) 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 6143993856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15794268602112).

6143993856000 is an abundant number, since it is smaller than the sum of its proper divisors (25444543348224).

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

6143993856000 is a wasteful number, since it uses less digits than its factorization.

6143993856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 6143993856000 in words is "six trillion, one hundred forty-three billion, nine hundred ninety-three million, eight hundred fifty-six thousand".