245482713504 has 1008 divisors, whose sum is σ = 904311475200. Its totient is φ = 65182537728.

The previous prime is 245482713491. The next prime is 245482713517. The reversal of 245482713504 is 405317284542.

245482713504 is a `hidden beast` number, since 2 + 4 + 54 + 82 + 7 + 13 + 504 = 666.

245482713504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (245482713491) and next prime (245482713517).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 245482713504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1932934689 + ... + 1932934815.

It is an arithmetic number, because the mean of its divisors is an integer number (897134400).

Almost surely, 2^245482713504 is an apocalyptic number.

245482713504 is a gapful number since it is divisible by the number (24) 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 245482713504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452155737600).

245482713504 is an abundant number, since it is smaller than the sum of its proper divisors (658828761696).

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

245482713504 is a wasteful number, since it uses less digits than its factorization.

245482713504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 245482713504 in words is "two hundred forty-five billion, four hundred eighty-two million, seven hundred thirteen thousand, five hundred four".