32854164000000 has 1008 divisors, whose sum is σ = 125535763121664. Its totient is φ = 7472102400000.

The previous prime is 32854163999981. The next prime is 32854164000037. The reversal of 32854164000000 is 46145823.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 19067999139 + ... + 19068000861.

Almost surely, 2^{32854164000000} is an apocalyptic number.

32854164000000 is a gapful number since it is divisible by the number (30) 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 32854164000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62767881560832).

32854164000000 is an abundant number, since it is smaller than the sum of its proper divisors (92681599121664).

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

32854164000000 is an frugal number, since it uses more digits than its factorization.

32854164000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 32854164000000 in words is "thirty-two trillion, eight hundred fifty-four billion, one hundred sixty-four million", and thus it is an aban number.