245911045461120 has 1024 divisors, whose sum is σ = 1007925770073600. Its totient is φ = 56120871223296.

The previous prime is 245911045461101. The next prime is 245911045461143. The reversal of 245911045461120 is 21164540119542.

245911045461120 is a `hidden beast` number, since 2 + 4 + 5 + 9 + 1 + 1 + 0 + 4 + 5 + 4 + 611 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 255384412 + ... + 256345508.

Almost surely, 2^{245911045461120} is an apocalyptic number.

245911045461120 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 245911045461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503962885036800).

245911045461120 is an abundant number, since it is smaller than the sum of its proper divisors (762014724612480).

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

245911045461120 is a wasteful number, since it uses less digits than its factorization.

245911045461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961222 (or 961204 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 245911045461120 in words is "two hundred forty-five trillion, nine hundred eleven billion, forty-five million, four hundred sixty-one thousand, one hundred twenty".