145599616733472 has 1728 divisors, whose sum is σ = 498193184047104. Its totient is φ = 41744989440000.

The previous prime is 145599616733443. The next prime is 145599616733477. The reversal of 145599616733472 is 274337616995541.

145599616733472 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 9 + 9 + 61 + 67 + 33 + 472 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 145599616733472.

It is not an unprimeable number, because it can be changed into a prime (145599616733477) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 345842319822 + ... + 345842320242.

It is an arithmetic number, because the mean of its divisors is an integer number (288306240768).

Almost surely, 2^{145599616733472} is an apocalyptic number.

145599616733472 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 145599616733472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249096592023552).

145599616733472 is an abundant number, since it is smaller than the sum of its proper divisors (352593567313632).

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

145599616733472 is a wasteful number, since it uses less digits than its factorization.

145599616733472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 706 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 72.

The spelling of 145599616733472 in words is "one hundred forty-five trillion, five hundred ninety-nine billion, six hundred sixteen million, seven hundred thirty-three thousand, four hundred seventy-two".