4685170880016 has 480 divisors, whose sum is σ = 14913974194560. Its totient is φ = 1407115100160.

The previous prime is 4685170879999. The next prime is 4685170880041. The reversal of 4685170880016 is 6100880715864.

It is a happy number.

4685170880016 is a `hidden beast` number, since 46 + 8 + 517 + 0 + 8 + 80 + 0 + 1 + 6 = 666.

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

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, 4916233396 + ... + 4916234348.

It is an arithmetic number, because the mean of its divisors is an integer number (31070779572).

Almost surely, 2^{4685170880016} 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 4685170880016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7456987097280).

4685170880016 is an abundant number, since it is smaller than the sum of its proper divisors (10228803314544).

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

4685170880016 is a wasteful number, since it uses less digits than its factorization.

4685170880016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 4685170880016 in words is "four trillion, six hundred eighty-five billion, one hundred seventy million, eight hundred eighty thousand, sixteen".