6054844181400 has 576 divisors, whose sum is σ = 24824812003200. Its totient is φ = 1351776625920.

The previous prime is 6054844181381. The next prime is 6054844181417. The reversal of 6054844181400 is 41814484506.

6054844181400 is a `hidden beast` number, since 6 + 0 + 54 + 84 + 41 + 81 + 400 = 666.

It is a super-2 number, since 2×6054844181400² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11111719 + ... + 11643881.

It is an arithmetic number, because the mean of its divisors is an integer number (43098631950).

Almost surely, 2^{6054844181400} is an apocalyptic number.

6054844181400 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 6054844181400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12412406001600).

6054844181400 is an abundant number, since it is smaller than the sum of its proper divisors (18769967821800).

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

6054844181400 is a wasteful number, since it uses less digits than its factorization.

6054844181400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532245 (or 532223 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 6054844181400 in words is "six trillion, fifty-four billion, eight hundred forty-four million, one hundred eighty-one thousand, four hundred".