1023232000032 has 576 divisors, whose sum is σ = 3367572848640. Its totient is φ = 291813580800.

The previous prime is 1023232000031. The next prime is 1023232000057. The reversal of 1023232000032 is 2300002323201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1023231999969 and 1023232000014.

It is not an unprimeable number, because it can be changed into a prime (1023232000031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1423131769 + ... + 1423132487.

It is an arithmetic number, because the mean of its divisors is an integer number (5846480640).

Almost surely, 2^{1023232000032} is an apocalyptic number.

1023232000032 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 1023232000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683786424320).

1023232000032 is an abundant number, since it is smaller than the sum of its proper divisors (2344340848608).

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

1023232000032 is a wasteful number, since it uses less digits than its factorization.

1023232000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1023232000032 its reverse (2300002323201), we get a palindrome (3323234323233).

The spelling of 1023232000032 in words is "one trillion, twenty-three billion, two hundred thirty-two million, thirty-two", and thus it is an aban number.