4613663315646 has 640 divisors, whose sum is σ = 14205539082240. Its totient is φ = 1082218579200.

The previous prime is 4613663315629. The next prime is 4613663315671. The reversal of 4613663315646 is 6465133663164.

4613663315646 is a `hidden beast` number, since 4 + 6 + 13 + 6 + 63 + 3 + 1 + 564 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4613663315592 and 4613663315601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1804325400 + ... + 1804327956.

It is an arithmetic number, because the mean of its divisors is an integer number (22196154816).

Almost surely, 2^{4613663315646} is an apocalyptic number.

4613663315646 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4613663315646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7102769541120).

4613663315646 is an abundant number, since it is smaller than the sum of its proper divisors (9591875766594).

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

4613663315646 is a wasteful number, since it uses less digits than its factorization.

4613663315646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2953 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 54.

The spelling of 4613663315646 in words is "four trillion, six hundred thirteen billion, six hundred sixty-three million, three hundred fifteen thousand, six hundred forty-six".