45006494681344 has 405 divisors, whose sum is σ = 107839684047123. Its totient is φ = 18745255001088.

The previous prime is 45006494681287. The next prime is 45006494681371. The reversal of 45006494681344 is 44318649460054.

The square root of 45006494681344 is 6708688.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 226163289757 + ... + 226163289955.

Almost surely, 2^{45006494681344} is an apocalyptic number.

45006494681344 is the 6708688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45006494681344

45006494681344 is an abundant number, since it is smaller than the sum of its proper divisors (62833189365779).

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

45006494681344 is an frugal number, since it uses more digits than its factorization.

45006494681344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 58.

The spelling of 45006494681344 in words is "forty-five trillion, six billion, four hundred ninety-four million, six hundred eighty-one thousand, three hundred forty-four".