145344430554624 has 480 divisors, whose sum is σ = 504976401346560. Its totient is φ = 39314361139200.

The previous prime is 145344430554623. The next prime is 145344430554671. The reversal of 145344430554624 is 426455034443541.

It is a happy number.

145344430554624 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 4 + 4 + 4 + 3 + 0 + 5 + 5 + 4 + 624 = 666.

It is a super-2 number, since 2×145344430554624² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145344430554623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901442334 + ... + 901603554.

It is an arithmetic number, because the mean of its divisors is an integer number (1052034169472).

Almost surely, 2^{145344430554624} is an apocalyptic number.

145344430554624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145344430554624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252488200673280).

145344430554624 is an abundant number, since it is smaller than the sum of its proper divisors (359631970791936).

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

145344430554624 is a wasteful number, since it uses less digits than its factorization.

145344430554624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162742 (or 162723 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 54.

The spelling of 145344430554624 in words is "one hundred forty-five trillion, three hundred forty-four billion, four hundred thirty million, five hundred fifty-four thousand, six hundred twenty-four".