44945600405904 has 135 divisors (see below), whose sum is σ = 138262549896289. Its totient is φ = 13619610744960.

The previous prime is 44945600405873. The next prime is 44945600405917. The reversal of 44945600405904 is 40950400654944.

The square root of 44945600405904 is 6704148.

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

44945600405904 is a `hidden beast` number, since 4 + 4 + 9 + 4 + 5 + 6 + 0 + 0 + 40 + 590 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1906752245904 + 43038848160000 = 1380852^2 + 6560400^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 884922142 + ... + 884972930.

Almost surely, 2^{44945600405904} is an apocalyptic number.

44945600405904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

44945600405904 is the 6704148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44945600405904

44945600405904 is an abundant number, since it is smaller than the sum of its proper divisors (93316949490385).

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

44945600405904 is an frugal number, since it uses more digits than its factorization.

44945600405904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101614 (or 50805 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 44945600405904 in words is "forty-four trillion, nine hundred forty-five billion, six hundred million, four hundred five thousand, nine hundred four".