245118661920 has 960 divisors, whose sum is σ = 975137087232. Its totient is φ = 57480192000.

The previous prime is 245118661891. The next prime is 245118661993. The reversal of 245118661920 is 29166811542.

245118661920 is a `hidden beast` number, since 2 + 4 + 5 + 1 + 1 + 8 + 6 + 619 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 617427162 + ... + 617427558.

Almost surely, 2^245118661920 is an apocalyptic number.

245118661920 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 245118661920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487568543616).

245118661920 is an abundant number, since it is smaller than the sum of its proper divisors (730018425312).

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

245118661920 is a wasteful number, since it uses less digits than its factorization.

245118661920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 245118661920 in words is "two hundred forty-five billion, one hundred eighteen million, six hundred sixty-one thousand, nine hundred twenty".