46610788224 has 768 divisors, whose sum is σ = 179331667200. Its totient is φ = 10507714560.

The previous prime is 46610788151. The next prime is 46610788243. The reversal of 46610788224 is 42288701664.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45741187 + ... + 45742205.

It is an arithmetic number, because the mean of its divisors is an integer number (233504775).

Almost surely, 2^46610788224 is an apocalyptic number.

46610788224 is a gapful number since it is divisible by the number (44) 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 46610788224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89665833600).

46610788224 is an abundant number, since it is smaller than the sum of its proper divisors (132720878976).

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

46610788224 is a wasteful number, since it uses less digits than its factorization.

46610788224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 46610788224 in words is "forty-six billion, six hundred ten million, seven hundred eighty-eight thousand, two hundred twenty-four".