145604046336 has 320 divisors, whose sum is σ = 465128801280. Its totient is φ = 39594885120.

The previous prime is 145604046311. The next prime is 145604046349. The reversal of 145604046336 is 633640406541.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 22135080 + ... + 22141656.

It is an arithmetic number, because the mean of its divisors is an integer number (1453527504).

Almost surely, 2^145604046336 is an apocalyptic number.

145604046336 is a gapful number since it is divisible by the number (16) 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 145604046336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232564400640).

145604046336 is an abundant number, since it is smaller than the sum of its proper divisors (319524754944).

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

145604046336 is an equidigital number, since it uses as much as digits as its factorization.

145604046336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6705 (or 6689 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 145604046336 in words is "one hundred forty-five billion, six hundred four million, forty-six thousand, three hundred thirty-six".