32403113456896 has 288 divisors, whose sum is σ = 83163850334208. Its totient is φ = 12255819816960.

The previous prime is 32403113456843. The next prime is 32403113456951. The reversal of 32403113456896 is 69865431130423.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59670315 + ... + 60210901.

It is an arithmetic number, because the mean of its divisors is an integer number (288763369216).

Almost surely, 2^{32403113456896} 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 32403113456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41581925167104).

32403113456896 is an abundant number, since it is smaller than the sum of its proper divisors (50760736877312).

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

32403113456896 is a wasteful number, since it uses less digits than its factorization.

32403113456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540737 (or 540723 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 55.

The spelling of 32403113456896 in words is "thirty-two trillion, four hundred three billion, one hundred thirteen million, four hundred fifty-six thousand, eight hundred ninety-six".