32134642848 has 576 divisors, whose sum is σ = 122276044800. Its totient is φ = 7752775680.

The previous prime is 32134642789. The next prime is 32134642861. The reversal of 32134642848 is 84824643123.

It is a happy number.

32134642848 is a `hidden beast` number, since 3 + 21 + 346 + 4 + 284 + 8 = 666.

It is a super-2 number, since 2×32134642848² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22330513 + ... + 22331951.

It is an arithmetic number, because the mean of its divisors is an integer number (212284800).

Almost surely, 2^32134642848 is an apocalyptic number.

32134642848 is a gapful number since it is divisible by the number (38) 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 32134642848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61138022400).

32134642848 is an abundant number, since it is smaller than the sum of its proper divisors (90141401952).

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

32134642848 is a wasteful number, since it uses less digits than its factorization.

32134642848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1534 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 32134642848 in words is "thirty-two billion, one hundred thirty-four million, six hundred forty-two thousand, eight hundred forty-eight".