245172309984 has 288 divisors, whose sum is σ = 808835751360. Its totient is φ = 68998127616.

The previous prime is 245172309971. The next prime is 245172309997. The reversal of 245172309984 is 489903271542.

245172309984 is a `hidden beast` number, since 2 + 4 + 517 + 2 + 30 + 9 + 98 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (245172309971) and next prime (245172309997).

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 245172309984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49697982 + ... + 49702914.

It is an arithmetic number, because the mean of its divisors is an integer number (2808457470).

Almost surely, 2^245172309984 is an apocalyptic number.

245172309984 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 245172309984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404417875680).

245172309984 is an abundant number, since it is smaller than the sum of its proper divisors (563663441376).

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

245172309984 is a wasteful number, since it uses less digits than its factorization.

245172309984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5322 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 245172309984 in words is "two hundred forty-five billion, one hundred seventy-two million, three hundred nine thousand, nine hundred eighty-four".