145082468922624 has 288 divisors, whose sum is σ = 430302619676160. Its totient is φ = 48217940140032.

The previous prime is 145082468922581. The next prime is 145082468922647. The reversal of 145082468922624 is 426229864280541.

145082468922624 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 82 + 468 + 92 + 2 + 6 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15218968162 + ... + 15218977694.

It is an arithmetic number, because the mean of its divisors is an integer number (1494106318320).

Almost surely, 2^{145082468922624} 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 145082468922624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215151309838080).

145082468922624 is an abundant number, since it is smaller than the sum of its proper divisors (285220150753536).

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

145082468922624 is an equidigital number, since it uses as much as digits as its factorization.

145082468922624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15834 (or 15814 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 145082468922624 in words is "one hundred forty-five trillion, eighty-two billion, four hundred sixty-eight million, nine hundred twenty-two thousand, six hundred twenty-four".