145822887460224 has 512 divisors, whose sum is σ = 488073035520000. Its totient is φ = 42490277609472.

The previous prime is 145822887460207. The next prime is 145822887460297. The reversal of 145822887460224 is 422064788228541.

It is a happy number.

145822887460224 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 2 + 288 + 74 + 60 + 224 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2247580617 + ... + 2247645495.

It is an arithmetic number, because the mean of its divisors is an integer number (953267647500).

Almost surely, 2^{145822887460224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145822887460224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244036517760000).

145822887460224 is an abundant number, since it is smaller than the sum of its proper divisors (342250148059776).

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

145822887460224 is a wasteful number, since it uses less digits than its factorization.

145822887460224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67567 (or 67549 counting only the distinct ones).

The product of its (nonzero) digits is 110100480, while the sum is 63.

The spelling of 145822887460224 in words is "one hundred forty-five trillion, eight hundred twenty-two billion, eight hundred eighty-seven million, four hundred sixty thousand, two hundred twenty-four".