16348217040000 has 1600 divisors, whose sum is σ = 63479270131200. Its totient is φ = 4170424320000.

The previous prime is 16348217039933. The next prime is 16348217040017. The reversal of 16348217040000 is 4071284361.

16348217040000 is a `hidden beast` number, since 1 + 6 + 3 + 4 + 82 + 170 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 19485359581 + ... + 19485360419.

It is an arithmetic number, because the mean of its divisors is an integer number (39674543832).

Almost surely, 2^{16348217040000} is an apocalyptic number.

16348217040000 is a gapful number since it is divisible by the number (10) 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 16348217040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31739635065600).

16348217040000 is an abundant number, since it is smaller than the sum of its proper divisors (47131053091200).

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

16348217040000 is an frugal number, since it uses more digits than its factorization.

16348217040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 16348217040000 in words is "sixteen trillion, three hundred forty-eight billion, two hundred seventeen million, forty thousand".