4914147564144 has 480 divisors, whose sum is σ = 17544803727360. Its totient is φ = 1249520836608.

The previous prime is 4914147564103. The next prime is 4914147564257. The reversal of 4914147564144 is 4414657414194.

4914147564144 is a `hidden beast` number, since 4 + 91 + 4 + 1 + 475 + 6 + 41 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41204952 + ... + 41324040.

It is an arithmetic number, because the mean of its divisors is an integer number (36551674432).

Almost surely, 2^{4914147564144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4914147564144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8772401863680).

4914147564144 is an abundant number, since it is smaller than the sum of its proper divisors (12630656163216).

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

4914147564144 is a wasteful number, since it uses less digits than its factorization.

4914147564144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119237 (or 119228 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 4914147564144 in words is "four trillion, nine hundred fourteen billion, one hundred forty-seven million, five hundred sixty-four thousand, one hundred forty-four".