16701405042336 has 576 divisors, whose sum is σ = 52716125911680. Its totient is φ = 4613464719360.

The previous prime is 16701405042331. The next prime is 16701405042347. The reversal of 16701405042336 is 63324050410761.

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

It is not an unprimeable number, because it can be changed into a prime (16701405042331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12876950040 + ... + 12876951336.

It is an arithmetic number, because the mean of its divisors is an integer number (91521051930).

Almost surely, 2^{16701405042336} is an apocalyptic number.

16701405042336 is a gapful number since it is divisible by the number (16) 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 16701405042336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26358062955840).

16701405042336 is an abundant number, since it is smaller than the sum of its proper divisors (36014720869344).

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

16701405042336 is a wasteful number, since it uses less digits than its factorization.

16701405042336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 16701405042336 in words is "sixteen trillion, seven hundred one billion, four hundred five million, forty-two thousand, three hundred thirty-six".