145285084788480 has 3456 divisors, whose sum is σ = 680188126464000. Its totient is φ = 29027634315264.

The previous prime is 145285084788469. The next prime is 145285084788523. The reversal of 145285084788480 is 84887480582541.

145285084788480 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 8 + 508 + 4 + 78 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×145285084788480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 145285084788399 and 145285084788408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 62921213566 + ... + 62921215874.

It is an arithmetic number, because the mean of its divisors is an integer number (196813694000).

Almost surely, 2^{145285084788480} is an apocalyptic number.

145285084788480 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 145285084788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340094063232000).

145285084788480 is an abundant number, since it is smaller than the sum of its proper divisors (534903041675520).

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

145285084788480 is an equidigital number, since it uses as much as digits as its factorization.

145285084788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 734003200, while the sum is 72.

The spelling of 145285084788480 in words is "one hundred forty-five trillion, two hundred eighty-five billion, eighty-four million, seven hundred eighty-eight thousand, four hundred eighty".