16374285312000 has 4032 divisors, whose sum is σ = 74400482257920. Its totient is φ = 3179151360000.

The previous prime is 16374285311983. The next prime is 16374285312001. The reversal of 16374285312000 is 21358247361.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16374285312001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 528202751985 + ... + 528202752015.

It is an arithmetic number, because the mean of its divisors is an integer number (18452500560).

Almost surely, 2^{16374285312000} is an apocalyptic number.

16374285312000 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 16374285312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37200241128960).

16374285312000 is an abundant number, since it is smaller than the sum of its proper divisors (58026196945920).

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

16374285312000 is a wasteful number, since it uses less digits than its factorization.

16374285312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 16374285312000 in words is "sixteen trillion, three hundred seventy-four billion, two hundred eighty-five million, three hundred twelve thousand".