4606496114220 has 1296 divisors, whose sum is σ = 20373535282464. Its totient is φ = 831546777600.

The previous prime is 4606496114173. The next prime is 4606496114279. The reversal of 4606496114220 is 224116946064.

4606496114220 is a `hidden beast` number, since 4 + 6 + 0 + 6 + 4 + 9 + 611 + 4 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 235845855 + ... + 235865385.

It is an arithmetic number, because the mean of its divisors is an integer number (15720320434).

Almost surely, 2^{4606496114220} 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 4606496114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10186767641232).

4606496114220 is an abundant number, since it is smaller than the sum of its proper divisors (15767039168244).

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

4606496114220 is a wasteful number, since it uses less digits than its factorization.

4606496114220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19612 (or 19589 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 4606496114220 in words is "four trillion, six hundred six billion, four hundred ninety-six million, one hundred fourteen thousand, two hundred twenty".