1308248505072 has 560 divisors, whose sum is σ = 4134203072640. Its totient is φ = 399291752448.

The previous prime is 1308248505007. The next prime is 1308248505121. The reversal of 1308248505072 is 2705058428031.

1308248505072 is a `hidden beast` number, since 1 + 30 + 8 + 2 + 48 + 505 + 0 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2134173438 + ... + 2134174050.

Almost surely, 2^{1308248505072} is an apocalyptic number.

1308248505072 is a gapful number since it is divisible by the number (12) 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 1308248505072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067101536320).

1308248505072 is an abundant number, since it is smaller than the sum of its proper divisors (2825954567568).

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

1308248505072 is a wasteful number, since it uses less digits than its factorization.

1308248505072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 1308248505072 in words is "one trillion, three hundred eight billion, two hundred forty-eight million, five hundred five thousand, seventy-two".