45105354466704 has 675 divisors, whose sum is σ = 157450457621457. Its totient is φ = 12429316843776.

The previous prime is 45105354466681. The next prime is 45105354466729. The reversal of 45105354466704 is 40766445350154.

The square root of 45105354466704 is 6716052.

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

45105354466704 is a `hidden beast` number, since 4 + 5 + 1 + 0 + 535 + 4 + 46 + 67 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23652153769104 + 21453200697600 = 4863348^2 + 4631760^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 49080907557 + ... + 49080908475.

Almost surely, 2^{45105354466704} is an apocalyptic number.

45105354466704 is the 6716052-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45105354466704

45105354466704 is an abundant number, since it is smaller than the sum of its proper divisors (112345103154753).

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

45105354466704 is an frugal number, since it uses more digits than its factorization.

45105354466704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 45105354466704 in words is "forty-five trillion, one hundred five billion, three hundred fifty-four million, four hundred sixty-six thousand, seven hundred four".