245066734080 has 1080 divisors, whose sum is σ = 1054713740652. Its totient is φ = 52253687808.

The previous prime is 245066734069. The next prime is 245066734103. The reversal of 245066734080 is 80437660542.

245066734080 is a `hidden beast` number, since 2 + 4 + 506 + 67 + 3 + 4 + 0 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10640335104 + 234426398976 = 103152^2 + 484176^2 .

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 107 ways as a sum of consecutive naturals, for example, 2168732104 + ... + 2168732216.

Almost surely, 2^245066734080 is an apocalyptic number.

245066734080 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 245066734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527356870326).

245066734080 is an abundant number, since it is smaller than the sum of its proper divisors (809647006572).

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

245066734080 is a wasteful number, since it uses less digits than its factorization.

245066734080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 245066734080 in words is "two hundred forty-five billion, sixty-six million, seven hundred thirty-four thousand, eighty".