45349126398976 has 99 divisors (see below), whose sum is σ = 96308014305009. Its totient is φ = 21339041415168.

The previous prime is 45349126398949. The next prime is 45349126398991. The reversal of 45349126398976 is 67989362194354.

The square root of 45349126398976 is 6734176.

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

It can be written as a sum of positive squares in only one way, i.e., 35306413286400 + 10042713112576 = 5941920^2 + 3169024^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3663385555 + ... + 3663397933.

Almost surely, 2^{45349126398976} is an apocalyptic number.

45349126398976 is the 6734176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45349126398976

45349126398976 is an abundant number, since it is smaller than the sum of its proper divisors (50958887906033).

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

45349126398976 is an frugal number, since it uses more digits than its factorization.

45349126398976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24812 (or 12398 counting only the distinct ones).

The product of its digits is 2116316160, while the sum is 76.

The spelling of 45349126398976 in words is "forty-five trillion, three hundred forty-nine billion, one hundred twenty-six million, three hundred ninety-eight thousand, nine hundred seventy-six".