1147827371632 has 80 divisors (see below), whose sum is σ = 2398566481920. Its totient is φ = 530334604800.

The previous prime is 1147827371627. The next prime is 1147827371641. The reversal of 1147827371632 is 2361737287411.

It is a super-3 number, since 3×1147827371632³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1147827371632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102087003 + ... + 102098245.

It is an arithmetic number, because the mean of its divisors is an integer number (29982081024).

Almost surely, 2^{1147827371632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1147827371632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199283240960).

1147827371632 is an abundant number, since it is smaller than the sum of its proper divisors (1250739110288).

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

1147827371632 is a wasteful number, since it uses less digits than its factorization.

1147827371632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19502 (or 19496 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 52.

The spelling of 1147827371632 in words is "one trillion, one hundred forty-seven billion, eight hundred twenty-seven million, three hundred seventy-one thousand, six hundred thirty-two".