6141245644800 has 1344 divisors, whose sum is σ = 26679178137600. Its totient is φ = 1355061657600.

The previous prime is 6141245644799. The next prime is 6141245644813. The reversal of 6141245644800 is 84465421416.

6141245644800 is a `hidden beast` number, since 6 + 1 + 4 + 1 + 2 + 4 + 564 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1122506065 + ... + 1122511535.

Almost surely, 2^{6141245644800} is an apocalyptic number.

6141245644800 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 6141245644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13339589068800).

6141245644800 is an abundant number, since it is smaller than the sum of its proper divisors (20537932492800).

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

6141245644800 is a wasteful number, since it uses less digits than its factorization.

6141245644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5517 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 6141245644800 in words is "six trillion, one hundred forty-one billion, two hundred forty-five million, six hundred forty-four thousand, eight hundred".