1306152049968 has 120 divisors (see below), whose sum is σ = 3716333687040. Its totient is φ = 428131630080.

The previous prime is 1306152049963. The next prime is 1306152049973. The reversal of 1306152049968 is 8699402516031.

1306152049968 is a `hidden beast` number, since 1 + 30 + 61 + 5 + 2 + 0 + 499 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (1306152049963) and next prime (1306152049973).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1306152049963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36514780 + ... + 36550532.

It is an arithmetic number, because the mean of its divisors is an integer number (30969447392).

Almost surely, 2^{1306152049968} is an apocalyptic number.

1306152049968 is a gapful number since it is divisible by the number (18) 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 1306152049968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858166843520).

1306152049968 is an abundant number, since it is smaller than the sum of its proper divisors (2410181637072).

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

1306152049968 is a wasteful number, since it uses less digits than its factorization.

1306152049968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39987 (or 39978 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1306152049968 in words is "one trillion, three hundred six billion, one hundred fifty-two million, forty-nine thousand, nine hundred sixty-eight".