245741151320320 has 144 divisors (see below), whose sum is σ = 589088836950768. Its totient is φ = 98219344527360.

The previous prime is 245741151320317. The next prime is 245741151320377. The reversal of 245741151320320 is 23023151147542.

It can be written as a sum of positive squares in 8 ways, for example, as 6663254243584 + 239077897076736 = 2581328^2 + 15462144^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 9458481730 + ... + 9458507710.

It is an arithmetic number, because the mean of its divisors is an integer number (4090894701047).

Almost surely, 2^{245741151320320} is an apocalyptic number.

245741151320320 is a gapful number since it is divisible by the number (20) 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 245741151320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294544418475384).

245741151320320 is an abundant number, since it is smaller than the sum of its proper divisors (343347685630448).

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

245741151320320 is a wasteful number, since it uses less digits than its factorization.

245741151320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31516 (or 31502 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 245741151320320 in words is "two hundred forty-five trillion, seven hundred forty-one billion, one hundred fifty-one million, three hundred twenty thousand, three hundred twenty".