45619379740944 has 105 divisors (see below), whose sum is σ = 132522818953863. Its totient is φ = 15206216762016.

The previous prime is 45619379740889. The next prime is 45619379740951. The reversal of 45619379740944 is 44904797391654.

The square root of 45619379740944 is 6754212.

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

45619379740944 is a `hidden beast` number, since 4 + 5 + 6 + 1 + 93 + 7 + 97 + 409 + 44 = 666.

It is a super-2 number, since 2×45619379740944² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 729423627 + ... + 729486165.

Almost surely, 2^{45619379740944} is an apocalyptic number.

45619379740944 is the 6754212-nd square number.

It is an amenable number.

45619379740944 is an abundant number, since it is smaller than the sum of its proper divisors (86903439212919).

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

45619379740944 is an frugal number, since it uses more digits than its factorization.

45619379740944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125104 (or 62544 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 45619379740944 in words is "forty-five trillion, six hundred nineteen billion, three hundred seventy-nine million, seven hundred forty thousand, nine hundred forty-four".