32134390848 has 224 divisors, whose sum is σ = 108374200320. Its totient is φ = 9146442240.

The previous prime is 32134390837. The next prime is 32134390859. The reversal of 32134390848 is 84809343123.

32134390848 is a `hidden beast` number, since 3 + 213 + 4 + 390 + 8 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (32134390837) and next prime (32134390859).

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 3273115 + ... + 3282917.

Almost surely, 2^32134390848 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 32134390848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54187100160).

32134390848 is an abundant number, since it is smaller than the sum of its proper divisors (76239809472).

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

32134390848 is a wasteful number, since it uses less digits than its factorization.

32134390848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10102 (or 10086 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 32134390848 in words is "thirty-two billion, one hundred thirty-four million, three hundred ninety thousand, eight hundred forty-eight".