145473494584320 has 528 divisors, whose sum is σ = 576143316141120. Its totient is φ = 33246893703168.

The previous prime is 145473494584309. The next prime is 145473494584441. The reversal of 145473494584320 is 23485494374541.

145473494584320 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 7 + 3 + 49 + 4 + 584 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3074940826 + ... + 3074988134.

Almost surely, 2^{145473494584320} is an apocalyptic number.

145473494584320 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 145473494584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288071658070560).

145473494584320 is an abundant number, since it is smaller than the sum of its proper divisors (430669821556800).

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

145473494584320 is a wasteful number, since it uses less digits than its factorization.

145473494584320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56880 (or 56859 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 145473494584320 in words is "one hundred forty-five trillion, four hundred seventy-three billion, four hundred ninety-four million, five hundred eighty-four thousand, three hundred twenty".