145525827354624 has 720 divisors, whose sum is σ = 448032617410560. Its totient is φ = 45386956800000.

The previous prime is 145525827354601. The next prime is 145525827354637. The reversal of 145525827354624 is 426453728525541.

It is a happy number.

145525827354624 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 2 + 5 + 82 + 7 + 3 + 546 + 2 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80802790524 + ... + 80802792324.

Almost surely, 2^{145525827354624} 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 145525827354624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224016308705280).

145525827354624 is an abundant number, since it is smaller than the sum of its proper divisors (302506790055936).

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

145525827354624 is a wasteful number, since it uses less digits than its factorization.

145525827354624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2167 counting only the distinct ones).

The product of its digits is 322560000, while the sum is 63.

The spelling of 145525827354624 in words is "one hundred forty-five trillion, five hundred twenty-five billion, eight hundred twenty-seven million, three hundred fifty-four thousand, six hundred twenty-four".