45379489144900 has 27 divisors (see below), whose sum is σ = 98473637625181. Its totient is φ = 18151768712240.

The previous prime is 45379489144889. The next prime is 45379489144901. The reversal of 45379489144900 is 944198497354.

The square root of 45379489144900 is 6736430.

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., 16336616092164 + 29042873052736 = 4041858^2 + 5389144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45379489144901) 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, 67027479 + ... + 67701121.

Almost surely, 2^{45379489144900} is an apocalyptic number.

45379489144900 is the 6736430-th square number.

It is an amenable number.

45379489144900 is an abundant number, since it is smaller than the sum of its proper divisors (53094148480281).

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

45379489144900 is an frugal number, since it uses more digits than its factorization.

45379489144900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347300 (or 673650 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 67.

The spelling of 45379489144900 in words is "forty-five trillion, three hundred seventy-nine billion, four hundred eighty-nine million, one hundred forty-four thousand, nine hundred".