145666448928 has 576 divisors, whose sum is σ = 580652634240. Its totient is φ = 34923571200.

The previous prime is 145666448923. The next prime is 145666449011. The reversal of 145666448928 is 829844666541.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (145666448923) 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 95 ways as a sum of consecutive naturals, for example, 6042018 + ... + 6066078.

It is an arithmetic number, because the mean of its divisors is an integer number (1008077490).

Almost surely, 2^145666448928 is an apocalyptic number.

145666448928 is a gapful number since it is divisible by the number (18) 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 145666448928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290326317120).

145666448928 is an abundant number, since it is smaller than the sum of its proper divisors (434986185312).

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

145666448928 is a wasteful number, since it uses less digits than its factorization.

145666448928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24118 (or 24097 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 145666448928 in words is "one hundred forty-five billion, six hundred sixty-six million, four hundred forty-eight thousand, nine hundred twenty-eight".