4726414615104 has 896 divisors, whose sum is σ = 17688920883200. Its totient is φ = 1203859169280.

The previous prime is 4726414615103. The next prime is 4726414615133. The reversal of 4726414615104 is 4015164146274.

4726414615104 is a `hidden beast` number, since 4 + 7 + 2 + 6 + 4 + 14 + 615 + 10 + 4 = 666.

It is a super-2 number, since 2×4726414615104² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4726414615104.

It is not an unprimeable number, because it can be changed into a prime (4726414615103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4421341482 + ... + 4421342550.

It is an arithmetic number, because the mean of its divisors is an integer number (19742099200).

Almost surely, 2^{4726414615104} 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 4726414615104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8844460441600).

4726414615104 is an abundant number, since it is smaller than the sum of its proper divisors (12962506268096).

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

4726414615104 is a wasteful number, since it uses less digits than its factorization.

4726414615104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4726414615104 in words is "four trillion, seven hundred twenty-six billion, four hundred fourteen million, six hundred fifteen thousand, one hundred four".