245265536251008 has 2304 divisors, whose sum is σ = 934788501504000. Its totient is φ = 60333717749760.

The previous prime is 245265536251007. The next prime is 245265536251019. The reversal of 245265536251008 is 800152635562542.

245265536251008 is a `hidden beast` number, since 2 + 4 + 5 + 2 + 6 + 5 + 5 + 3 + 625 + 1 + 0 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (245265536251007) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 143514063658 + ... + 143514065366.

It is an arithmetic number, because the mean of its divisors is an integer number (405724176000).

Almost surely, 2^{245265536251008} is an apocalyptic number.

245265536251008 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 245265536251008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467394250752000).

245265536251008 is an abundant number, since it is smaller than the sum of its proper divisors (689522965252992).

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

245265536251008 is a wasteful number, since it uses less digits than its factorization.

245265536251008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 245265536251008 in words is "two hundred forty-five trillion, two hundred sixty-five billion, five hundred thirty-six million, two hundred fifty-one thousand, eight".