46562734656 has 273 divisors, whose sum is σ = 142443901929. Its totient is φ = 15101427456.

The previous prime is 46562734549. The next prime is 46562734697. The reversal of 46562734656 is 65643726564.

The square root of 46562734656 is 215784.

It is a perfect power (a square), and thus also a powerful number.

46562734656 is a `hidden beast` number, since 4 + 6 + 5 + 627 + 3 + 4 + 6 + 5 + 6 = 666.

46562734656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 41664974400 + 4897760256 = 204120^2 + 69984^2 .

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

Its product of digits (21772800) is a multiple of the sum of its prime divisors (42).

It is an unprimeable number.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 1258452270 + ... + 1258452306.

Almost surely, 2^46562734656 is an apocalyptic number.

46562734656 is the 215784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46562734656

46562734656 is an abundant number, since it is smaller than the sum of its proper divisors (95881167273).

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

46562734656 is an frugal number, since it uses more digits than its factorization.

46562734656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 42 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 54.

The spelling of 46562734656 in words is "forty-six billion, five hundred sixty-two million, seven hundred thirty-four thousand, six hundred fifty-six".