46020546576 has 225 divisors, whose sum is σ = 136847444173. Its totient is φ = 14930870400.

The previous prime is 46020546511. The next prime is 46020546617. The reversal of 46020546576 is 67564502064.

The square root of 46020546576 is 214524.

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

46020546576 is a `hidden beast` number, since 4 + 6 + 0 + 20 + 54 + 6 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44215996176 + 1804550400 = 210276^2 + 42480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 455648926 + ... + 455649026.

Almost surely, 2^46020546576 is an apocalyptic number.

46020546576 is the 214524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46020546576

46020546576 is an abundant number, since it is smaller than the sum of its proper divisors (90826897597).

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

46020546576 is an equidigital number, since it uses as much as digits as its factorization.

46020546576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 46020546576 in words is "forty-six billion, twenty million, five hundred forty-six thousand, five hundred seventy-six".