145367969514496 has 99 divisors (see below), whose sum is σ = 296222002999951. Its totient is φ = 71302557507584.

The previous prime is 145367969514451. The next prime is 145367969514503. The reversal of 145367969514496 is 694415969763541.

The square root of 145367969514496 is 12056864.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4082986009600 + 141284983504896 = 2020640^2 + 11886336^2 .

It is a super-2 number, since 2×145367969514496² (a number of 29 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 20448437790 + ... + 20448444898.

Almost surely, 2^{145367969514496} is an apocalyptic number.

145367969514496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

145367969514496 is the 12056864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145367969514496

145367969514496 is an abundant number, since it is smaller than the sum of its proper divisors (150854033485455).

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

145367969514496 is an frugal number, since it uses more digits than its factorization.

145367969514496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14344 (or 7164 counting only the distinct ones).

The product of its digits is 5290790400, while the sum is 79.

The spelling of 145367969514496 in words is "one hundred forty-five trillion, three hundred sixty-seven billion, nine hundred sixty-nine million, five hundred fourteen thousand, four hundred ninety-six".