45077809428001 has 9 divisors (see below), whose sum is σ = 52437506454801. Its totient is φ = 38638082082852.

The previous prime is 45077809427993. The next prime is 45077809428023. The reversal of 45077809428001 is 10082490877054.

The square root of 45077809428001 is 6714001.

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

It is not a de Polignac number, because 45077809428001 - 2³ = 45077809427993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45077809428101) 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, 46518436 + ... + 47477578.

It is an arithmetic number, because the mean of its divisors is an integer number (5826389606089).

Almost surely, 2^{45077809428001} is an apocalyptic number.

45077809428001 is the 6714001-st square number.

45077809428001 is the 3357001-st centered octagonal number.

It is an amenable number.

45077809428001 is a deficient number, since it is larger than the sum of its proper divisors (7359697026800).

45077809428001 is an frugal number, since it uses more digits than its factorization.

45077809428001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918300 (or 959150 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 55.

The spelling of 45077809428001 in words is "forty-five trillion, seventy-seven billion, eight hundred nine million, four hundred twenty-eight thousand, one".