145364111343616 has 135 divisors (see below), whose sum is σ = 319588343482863. Its totient is φ = 66066879774720.

The previous prime is 145364111343569. The next prime is 145364111343631. The reversal of 145364111343616 is 616343111463541.

The square root of 145364111343616 is 12056704.

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

It is a super-2 number, since 2×145364111343616² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 145364111343616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16975834951 + ... + 16975843513.

Almost surely, 2^{145364111343616} is an apocalyptic number.

145364111343616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

145364111343616 is the 12056704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145364111343616

145364111343616 is an abundant number, since it is smaller than the sum of its proper divisors (174224232139247).

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

145364111343616 is an frugal number, since it uses more digits than its factorization.

145364111343616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17176 (or 8576 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 49.

The spelling of 145364111343616 in words is "one hundred forty-five trillion, three hundred sixty-four billion, one hundred eleven million, three hundred forty-three thousand, six hundred sixteen".