1131626828352 has 112 divisors (see below), whose sum is σ = 3004794112320. Its totient is φ = 375862689792.

The previous prime is 1131626828261. The next prime is 1131626828467. The reversal of 1131626828352 is 2538286261311.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113055924 + ... + 113065932.

It is an arithmetic number, because the mean of its divisors is an integer number (26828518860).

Almost surely, 2^{1131626828352} is an apocalyptic number.

1131626828352 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 1131626828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502397056160).

1131626828352 is an abundant number, since it is smaller than the sum of its proper divisors (1873167283968).

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

1131626828352 is a wasteful number, since it uses less digits than its factorization.

1131626828352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12068 (or 12058 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The spelling of 1131626828352 in words is "one trillion, one hundred thirty-one billion, six hundred twenty-six million, eight hundred twenty-eight thousand, three hundred fifty-two".