6114520552140 has 576 divisors, whose sum is σ = 25575850460160. Its totient is φ = 1141116180480.

The previous prime is 6114520552087. The next prime is 6114520552201. The reversal of 6114520552140 is 412550254116.

6114520552140 is a `hidden beast` number, since 6 + 1 + 1 + 45 + 20 + 552 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6114520552095 and 6114520552104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6208071 + ... + 7125249.

It is an arithmetic number, because the mean of its divisors is an integer number (44402518160).

Almost surely, 2^{6114520552140} is an apocalyptic number.

6114520552140 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 6114520552140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12787925230080).

6114520552140 is an abundant number, since it is smaller than the sum of its proper divisors (19461329908020).

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

6114520552140 is a wasteful number, since it uses less digits than its factorization.

6114520552140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917262 (or 917257 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 6114520552140 in words is "six trillion, one hundred fourteen billion, five hundred twenty million, five hundred fifty-two thousand, one hundred forty".