1432238948352 has 640 divisors, whose sum is σ = 4566082752000. Its totient is φ = 442641678336.

The previous prime is 1432238948303. The next prime is 1432238948381. The reversal of 1432238948352 is 2538498322341.

1432238948352 is a `hidden beast` number, since 1 + 4 + 32 + 2 + 3 + 89 + 483 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17255890903 + ... + 17255890985.

It is an arithmetic number, because the mean of its divisors is an integer number (7134504300).

Almost surely, 2^{1432238948352} is an apocalyptic number.

1432238948352 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 1432238948352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283041376000).

1432238948352 is an abundant number, since it is smaller than the sum of its proper divisors (3133843803648).

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

1432238948352 is an frugal number, since it uses more digits than its factorization.

1432238948352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 164 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 1432238948352 in words is "one trillion, four hundred thirty-two billion, two hundred thirty-eight million, nine hundred forty-eight thousand, three hundred fifty-two".