45210666384 has 405 divisors, whose sum is σ = 144979250403. Its totient is φ = 13145513472.

The previous prime is 45210666329. The next prime is 45210666401. The reversal of 45210666384 is 48366601254.

The square root of 45210666384 is 212628.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5797299600 + 39413366784 = 76140^2 + 198528^2 .

It is a super-3 number, since 3×45210666384³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 961929049 + ... + 961929095.

Almost surely, 2^45210666384 is an apocalyptic number.

45210666384 is the 212628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45210666384

45210666384 is an abundant number, since it is smaller than the sum of its proper divisors (99768584019).

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

45210666384 is a wasteful number, since it uses less digits than its factorization.

45210666384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 45210666384 in words is "forty-five billion, two hundred ten million, six hundred sixty-six thousand, three hundred eighty-four".