145384823808 has 1056 divisors, whose sum is σ = 549353226240. Its totient is φ = 37444239360.

The previous prime is 145384823777. The next prime is 145384823813. The reversal of 145384823808 is 808328483541.

145384823808 is a `hidden beast` number, since 1 + 4 + 538 + 4 + 8 + 23 + 80 + 8 = 666.

It is a super-2 number, since 2×145384823808² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 761176993 + ... + 761177183.

Almost surely, 2^145384823808 is an apocalyptic number.

145384823808 is a gapful number since it is divisible by the number (18) 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 145384823808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274676613120).

145384823808 is an abundant number, since it is smaller than the sum of its proper divisors (403968402432).

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

145384823808 is a wasteful number, since it uses less digits than its factorization.

145384823808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 145384823808 in words is "one hundred forty-five billion, three hundred eighty-four million, eight hundred twenty-three thousand, eight hundred eight".