145604220948480 has 3328 divisors, whose sum is σ = 627760336896000. Its totient is φ = 28005334253568.

The previous prime is 145604220948413. The next prime is 145604220948517. The reversal of 145604220948480 is 84849022406541.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 145604220948480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 189342289536 + ... + 189342290304.

Almost surely, 2^{145604220948480} is an apocalyptic number.

145604220948480 is a gapful number since it is divisible by the number (10) 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 145604220948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313880168448000).

145604220948480 is an abundant number, since it is smaller than the sum of its proper divisors (482156115947520).

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

145604220948480 is a wasteful number, since it uses less digits than its factorization.

145604220948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 57.

The spelling of 145604220948480 in words is "one hundred forty-five trillion, six hundred four billion, two hundred twenty million, nine hundred forty-eight thousand, four hundred eighty".