4961688670512 has 160 divisors (see below), whose sum is σ = 16279787471360. Its totient is φ = 1417333697280.

The previous prime is 4961688670457. The next prime is 4961688670517. The reversal of 4961688670512 is 2150768861694.

4961688670512 is a `hidden beast` number, since 4 + 9 + 616 + 8 + 8 + 6 + 7 + 0 + 5 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 4961688670512.

It is not an unprimeable number, because it can be changed into a prime (4961688670517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14751087 + ... + 15083697.

It is an arithmetic number, because the mean of its divisors is an integer number (101748671696).

Almost surely, 2^{4961688670512} is an apocalyptic number.

4961688670512 is a gapful number since it is divisible by the number (42) 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 4961688670512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8139893735680).

4961688670512 is an abundant number, since it is smaller than the sum of its proper divisors (11318098800848).

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

4961688670512 is a wasteful number, since it uses less digits than its factorization.

4961688670512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337568 (or 337556 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 4961688670512 in words is "four trillion, nine hundred sixty-one billion, six hundred eighty-eight million, six hundred seventy thousand, five hundred twelve".