16677017701344 has 480 divisors, whose sum is σ = 65852849373696. Its totient is φ = 3998485140480.

The previous prime is 16677017701321. The next prime is 16677017701363. The reversal of 16677017701344 is 44310771077661.

16677017701344 is a `hidden beast` number, since 1 + 6 + 67 + 70 + 177 + 0 + 1 + 344 = 666.

It is a super-2 number, since 2×16677017701344² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 619212 + ... + 5808395.

Almost surely, 2^{16677017701344} is an apocalyptic number.

16677017701344 is a gapful number since it is divisible by the number (14) 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 16677017701344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32926424686848).

16677017701344 is an abundant number, since it is smaller than the sum of its proper divisors (49175831672352).

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

16677017701344 is a wasteful number, since it uses less digits than its factorization.

16677017701344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6427660 (or 6427643 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 16677017701344 in words is "sixteen trillion, six hundred seventy-seven billion, seventeen million, seven hundred one thousand, three hundred forty-four".