145544275334656 has 960 divisors, whose sum is σ = 351781706529792. Its totient is φ = 59586560000000.

The previous prime is 145544275334621. The next prime is 145544275334707. The reversal of 145544275334656 is 656433572445541.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 579857670531 + ... + 579857670781.

Almost surely, 2^{145544275334656} is an apocalyptic number.

145544275334656 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 145544275334656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175890853264896).

145544275334656 is an abundant number, since it is smaller than the sum of its proper divisors (206237431195136).

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

145544275334656 is a wasteful number, since it uses less digits than its factorization.

145544275334656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 476 counting only the distinct ones).

The product of its digits is 725760000, while the sum is 64.

The spelling of 145544275334656 in words is "one hundred forty-five trillion, five hundred forty-four billion, two hundred seventy-five million, three hundred thirty-four thousand, six hundred fifty-six".