145578955808832 has 1792 divisors, whose sum is σ = 534408015052800. Its totient is φ = 33888927744000.

The previous prime is 145578955808809. The next prime is 145578955808849. The reversal of 145578955808832 is 238808559875541.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 191299547332 + ... + 191299548092.

It is an arithmetic number, because the mean of its divisors is an integer number (298218758400).

Almost surely, 2^{145578955808832} is an apocalyptic number.

145578955808832 is a gapful number since it is divisible by the number (12) 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 145578955808832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267204007526400).

145578955808832 is an abundant number, since it is smaller than the sum of its proper divisors (388829059243968).

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

145578955808832 is a wasteful number, since it uses less digits than its factorization.

145578955808832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 3870720000, while the sum is 78.

The spelling of 145578955808832 in words is "one hundred forty-five trillion, five hundred seventy-eight billion, nine hundred fifty-five million, eight hundred eight thousand, eight hundred thirty-two".