416148849216 has 63 divisors (see below), whose sum is σ = 1192859917171. Its totient is φ = 138711122304.

The previous prime is 416148849211. The next prime is 416148849223. The reversal of 416148849216 is 612948841614.

The square root of 416148849216 is 645096.

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

416148849216 is a `hidden beast` number, since 4 + 1 + 6 + 148 + 8 + 492 + 1 + 6 = 666.

It is a super-2 number, since 2×416148849216² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416148849211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15468865 + ... + 15495743.

Almost surely, 2^416148849216 is an apocalyptic number.

416148849216 is the 645096-th square number.

It is an amenable number.

416148849216 is an abundant number, since it is smaller than the sum of its proper divisors (776711067955).

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

416148849216 is an frugal number, since it uses more digits than its factorization.

416148849216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53776 (or 26884 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

It can be divided in two parts, 4161488 and 49216, that added together give a square (4210704 = 2052²).

The spelling of 416148849216 in words is "four hundred sixteen billion, one hundred forty-eight million, eight hundred forty-nine thousand, two hundred sixteen".