145779988810368 has 256 divisors, whose sum is σ = 423098128650240. Its totient is φ = 44106003701760.

The previous prime is 145779988810331. The next prime is 145779988810409. The reversal of 145779988810368 is 863018889977541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8612267121 + ... + 8612284047.

It is an arithmetic number, because the mean of its divisors is an integer number (1652727065040).

Almost surely, 2^{145779988810368} 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 145779988810368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211549064325120).

145779988810368 is an abundant number, since it is smaller than the sum of its proper divisors (277318139839872).

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

145779988810368 is a wasteful number, since it uses less digits than its factorization.

145779988810368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20055 (or 20043 counting only the distinct ones).

The product of its (nonzero) digits is 5852528640, while the sum is 84.

The spelling of 145779988810368 in words is "one hundred forty-five trillion, seven hundred seventy-nine billion, nine hundred eighty-eight million, eight hundred ten thousand, three hundred sixty-eight".