45929633344 has 189 divisors, whose sum is σ = 109778153697. Its totient is φ = 19010331648.

The previous prime is 45929633341. The next prime is 45929633357. The reversal of 45929633344 is 44333692954.

It is a happy number.

The square root of 45929633344 is 214312.

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., 8819463744 + 37110169600 = 93912^2 + 192640^2 .

It is a super-2 number, since 2×45929633344² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45929633291 and 45929633300.

It is not an unprimeable number, because it can be changed into a prime (45929633341) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 516063252 + ... + 516063340.

Almost surely, 2^45929633344 is an apocalyptic number.

45929633344 is the 214312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45929633344

45929633344 is an abundant number, since it is smaller than the sum of its proper divisors (63848520353).

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

45929633344 is an frugal number, since it uses more digits than its factorization.

45929633344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 141 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 52.

The spelling of 45929633344 in words is "forty-five billion, nine hundred twenty-nine million, six hundred thirty-three thousand, three hundred forty-four".