4116657860064 has 72 divisors (see below), whose sum is σ = 12140328989880. Its totient is φ = 1372219284096.

The previous prime is 4116657860023. The next prime is 4116657860083. The reversal of 4116657860064 is 4600687566114.

4116657860064 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 6 + 578 + 6 + 0 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264695019 + ... + 264710570.

It is an arithmetic number, because the mean of its divisors is an integer number (168615680415).

Almost surely, 2^{4116657860064} is an apocalyptic number.

It is an amenable number.

4116657860064 is an abundant number, since it is smaller than the sum of its proper divisors (8023671129816).

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

4116657860064 is an equidigital number, since it uses as much as digits as its factorization.

4116657860064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529405614 (or 529405594 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4116657860064 in words is "four trillion, one hundred sixteen billion, six hundred fifty-seven million, eight hundred sixty thousand, sixty-four".