245729487181248 has 1344 divisors, whose sum is σ = 914251224047616. Its totient is φ = 63816450048000.

The previous prime is 245729487181141. The next prime is 245729487181259. The reversal of 245729487181248 is 842181784927542.

245729487181248 is a `hidden beast` number, since 2 + 4 + 5 + 7 + 2 + 9 + 487 + 18 + 124 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 29890457778 + ... + 29890465998.

It is an arithmetic number, because the mean of its divisors is an integer number (680246446464).

Almost surely, 2^{245729487181248} is an apocalyptic number.

245729487181248 is a gapful number since it is divisible by the number (28) 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 245729487181248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457125612023808).

245729487181248 is an abundant number, since it is smaller than the sum of its proper divisors (668521736866368).

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

245729487181248 is a wasteful number, since it uses less digits than its factorization.

245729487181248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8824 (or 8802 counting only the distinct ones).

The product of its digits is 578027520, while the sum is 72.

The spelling of 245729487181248 in words is "two hundred forty-five trillion, seven hundred twenty-nine billion, four hundred eighty-seven million, one hundred eighty-one thousand, two hundred forty-eight".