245161072578240 has 1792 divisors, whose sum is σ = 1081929784320000. Its totient is φ = 50883842801664.

The previous prime is 245161072578203. The next prime is 245161072578241. The reversal of 245161072578240 is 42875270161542.

245161072578240 is a `hidden beast` number, since 2 + 4 + 5 + 1 + 61 + 0 + 7 + 2 + 578 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (245161072578241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12736292136 + ... + 12736311384.

It is an arithmetic number, because the mean of its divisors is an integer number (603755460000).

Almost surely, 2^{245161072578240} is an apocalyptic number.

245161072578240 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 245161072578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540964892160000).

245161072578240 is an abundant number, since it is smaller than the sum of its proper divisors (836768711741760).

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

245161072578240 is a wasteful number, since it uses less digits than its factorization.

245161072578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19559 (or 19543 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 245161072578240 in words is "two hundred forty-five trillion, one hundred sixty-one billion, seventy-two million, five hundred seventy-eight thousand, two hundred forty".