1148188864632 has 256 divisors, whose sum is σ = 3154039603200. Its totient is φ = 347221416960.

The previous prime is 1148188864621. The next prime is 1148188864637. The reversal of 1148188864632 is 2364688818411.

It is a happy number.

It is a super-3 number, since 3×1148188864632³ (a number of 37 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148188864637) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 203612869 + ... + 203618507.

It is an arithmetic number, because the mean of its divisors is an integer number (12320467200).

Almost surely, 2^{1148188864632} is an apocalyptic number.

1148188864632 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 1148188864632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577019801600).

1148188864632 is an abundant number, since it is smaller than the sum of its proper divisors (2005850738568).

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

1148188864632 is a wasteful number, since it uses less digits than its factorization.

1148188864632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5938 (or 5934 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 60.

The spelling of 1148188864632 in words is "one trillion, one hundred forty-eight billion, one hundred eighty-eight million, eight hundred sixty-four thousand, six hundred thirty-two".