1032114410748 has 144 divisors (see below), whose sum is σ = 2799014400000. Its totient is φ = 319728777984.

The previous prime is 1032114410693. The next prime is 1032114410759. The reversal of 1032114410748 is 8470144112301.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 7664503 + ... + 7798001.

It is an arithmetic number, because the mean of its divisors is an integer number (19437600000).

Almost surely, 2^{1032114410748} is an apocalyptic number.

1032114410748 is a gapful number since it is divisible by the number (18) 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 1032114410748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399507200000).

1032114410748 is an abundant number, since it is smaller than the sum of its proper divisors (1766899989252).

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

1032114410748 is a wasteful number, since it uses less digits than its factorization.

1032114410748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133744 (or 133739 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1032114410748 in words is "one trillion, thirty-two billion, one hundred fourteen million, four hundred ten thousand, seven hundred forty-eight".