1302149116576 has 96 divisors (see below), whose sum is σ = 3197419505280. Its totient is φ = 507134745600.

The previous prime is 1302149116561. The next prime is 1302149116577. The reversal of 1302149116576 is 6756119412031.

It is not an unprimeable number, because it can be changed into a prime (1302149116577) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6357330 + ... + 6558958.

It is an arithmetic number, because the mean of its divisors is an integer number (33306453180).

Almost surely, 2^{1302149116576} is an apocalyptic number.

1302149116576 is a gapful number since it is divisible by the number (16) 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 1302149116576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598709752640).

1302149116576 is an abundant number, since it is smaller than the sum of its proper divisors (1895270388704).

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

1302149116576 is a wasteful number, since it uses less digits than its factorization.

1302149116576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204278 (or 204270 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 1302149116576 in words is "one trillion, three hundred two billion, one hundred forty-nine million, one hundred sixteen thousand, five hundred seventy-six".