46664353560 has 256 divisors, whose sum is σ = 160159680000. Its totient is φ = 10772213760.

The previous prime is 46664353427. The next prime is 46664353577. The reversal of 46664353560 is 6535346664.

46664353560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2786091 + ... + 2802789.

It is an arithmetic number, because the mean of its divisors is an integer number (625623750).

Almost surely, 2^46664353560 is an apocalyptic number.

46664353560 is a gapful number since it is divisible by the number (40) 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 46664353560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80079840000).

46664353560 is an abundant number, since it is smaller than the sum of its proper divisors (113495326440).

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

46664353560 is a wasteful number, since it uses less digits than its factorization.

46664353560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16826 (or 16822 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 46664353560 in words is "forty-six billion, six hundred sixty-four million, three hundred fifty-three thousand, five hundred sixty".