45654014224 has 135 divisors (see below), whose sum is σ = 111610312677. Its totient is φ = 18030160512.

The previous prime is 45654014221. The next prime is 45654014227. The reversal of 45654014224 is 42241045654.

The square root of 45654014224 is 213668.

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

It is an interprime number because it is at equal distance from previous prime (45654014221) and next prime (45654014227).

It can be written as a sum of positive squares in only one way, i.e., 6753552400 + 38900461824 = 82180^2 + 197232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45654014221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77774859 + ... + 77775445.

Almost surely, 2^45654014224 is an apocalyptic number.

45654014224 is the 213668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45654014224

45654014224 is an abundant number, since it is smaller than the sum of its proper divisors (65956298453).

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

45654014224 is an equidigital number, since it uses as much as digits as its factorization.

45654014224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

Adding to 45654014224 its reverse (42241045654), we get a palindrome (87895059878).

The spelling of 45654014224 in words is "forty-five billion, six hundred fifty-four million, fourteen thousand, two hundred twenty-four".