245095044480 has 1536 divisors, whose sum is σ = 1050203750400. Its totient is φ = 53648179200.

The previous prime is 245095044479. The next prime is 245095044497. The reversal of 245095044480 is 84440590542.

It is a happy number.

245095044480 is a `hidden beast` number, since 2 + 45 + 0 + 95 + 0 + 44 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1929882177 + ... + 1929882303.

It is an arithmetic number, because the mean of its divisors is an integer number (683726400).

Almost surely, 2^245095044480 is an apocalyptic number.

245095044480 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 245095044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525101875200).

245095044480 is an abundant number, since it is smaller than the sum of its proper divisors (805108705920).

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

245095044480 is a wasteful number, since it uses less digits than its factorization.

245095044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 245095044480 in words is "two hundred forty-five billion, ninety-five million, forty-four thousand, four hundred eighty".