1157131205216 has 48 divisors (see below), whose sum is σ = 2603877647616. Its totient is φ = 495850052736.

The previous prime is 1157131205137. The next prime is 1157131205227. The reversal of 1157131205216 is 6125021317511.

It is a super-3 number, since 3×1157131205216³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1449815 + ... + 2101481.

It is an arithmetic number, because the mean of its divisors is an integer number (54247450992).

Almost surely, 2^{1157131205216} is an apocalyptic number.

1157131205216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1157131205216 is an abundant number, since it is smaller than the sum of its proper divisors (1446746442400).

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

1157131205216 is an equidigital number, since it uses as much as digits as its factorization.

1157131205216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659611 (or 659603 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 35.

The spelling of 1157131205216 in words is "one trillion, one hundred fifty-seven billion, one hundred thirty-one million, two hundred five thousand, two hundred sixteen".