145824744064 has 32 divisors (see below), whose sum is σ = 290888205300. Its totient is φ = 72817508352.

The previous prime is 145824744061. The next prime is 145824744071. The reversal of 145824744064 is 460447428541.

It can be written as a sum of positive squares in 2 ways, for example, as 139487310400 + 6337433664 = 373480^2 + 79608^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×145824744064² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145824743999 and 145824744017.

It is not an unprimeable number, because it can be changed into a prime (145824744061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 642307 + ... + 839170.

Almost surely, 2^145824744064 is an apocalyptic number.

It is an amenable number.

145824744064 is a deficient number, since it is larger than the sum of its proper divisors (145063461236).

145824744064 is an equidigital number, since it uses as much as digits as its factorization.

145824744064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482260 (or 1482248 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 49.

The spelling of 145824744064 in words is "one hundred forty-five billion, eight hundred twenty-four million, seven hundred forty-four thousand, sixty-four".