6854014953900 has 288 divisors, whose sum is σ = 22244926233600. Its totient is φ = 1810335225600.

The previous prime is 6854014953853. The next prime is 6854014953901. The reversal of 6854014953900 is 93594104586.

6854014953900 is a `hidden beast` number, since 6 + 8 + 540 + 1 + 4 + 9 + 5 + 3 + 90 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6854014953901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161733114 + ... + 161775486.

It is an arithmetic number, because the mean of its divisors is an integer number (77239327200).

Almost surely, 2^{6854014953900} is an apocalyptic number.

6854014953900 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 6854014953900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11122463116800).

6854014953900 is an abundant number, since it is smaller than the sum of its proper divisors (15390911279700).

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

6854014953900 is a wasteful number, since it uses less digits than its factorization.

6854014953900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42966 (or 42953 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 6854014953900 in words is "six trillion, eight hundred fifty-four billion, fourteen million, nine hundred fifty-three thousand, nine hundred".