145781862368256 has 297 divisors, whose sum is σ = 423972398786781. Its totient is φ = 48246608830464.

The previous prime is 145781862368239. The next prime is 145781862368279. The reversal of 145781862368256 is 652863268187541.

The square root of 145781862368256 is 12074016.

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

145781862368256 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 8 + 1 + 8 + 6 + 2 + 368 + 256 = 666.

It can be written as a sum of positive squares in only one way, i.e., 132610885862400 + 13170976505856 = 11515680^2 + 3629184^2 .

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

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 26 ways as a sum of consecutive naturals, for example, 200525257365 + ... + 200525258091.

Almost surely, 2^{145781862368256} is an apocalyptic number.

145781862368256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

145781862368256 is the 12074016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145781862368256

145781862368256 is an abundant number, since it is smaller than the sum of its proper divisors (278190536418525).

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

145781862368256 is an frugal number, since it uses more digits than its factorization.

145781862368256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 905 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 72.

The spelling of 145781862368256 in words is "one hundred forty-five trillion, seven hundred eighty-one billion, eight hundred sixty-two million, three hundred sixty-eight thousand, two hundred fifty-six".