32191814016 has 256 divisors, whose sum is σ = 97075929600. Its totient is φ = 10499328000.

The previous prime is 32191813919. The next prime is 32191814051. The reversal of 32191814016 is 61041819123.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65563531 + ... + 65564021.

It is an arithmetic number, because the mean of its divisors is an integer number (379202850).

Almost surely, 2^32191814016 is an apocalyptic number.

32191814016 is a gapful number since it is divisible by the number (36) 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 32191814016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48537964800).

32191814016 is an abundant number, since it is smaller than the sum of its proper divisors (64884115584).

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

32191814016 is a wasteful number, since it uses less digits than its factorization.

32191814016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 32191814016 in words is "thirty-two billion, one hundred ninety-one million, eight hundred fourteen thousand, sixteen".