16793951616 has 384 divisors, whose sum is σ = 55342254240. Its totient is φ = 5036359680.

The previous prime is 16793951579. The next prime is 16793951617. The reversal of 16793951616 is 61615939761.

It is a happy number.

16793951616 is a `hidden beast` number, since 16 + 7 + 9 + 3 + 9 + 5 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×16793951616² (a number of 21 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 not an unprimeable number, because it can be changed into a prime (16793951617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16577926 + ... + 16578938.

Almost surely, 2^16793951616 is an apocalyptic number.

16793951616 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 16793951616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27671127120).

16793951616 is an abundant number, since it is smaller than the sum of its proper divisors (38548302624).

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

16793951616 is a wasteful number, since it uses less digits than its factorization.

16793951616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1072 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

The spelling of 16793951616 in words is "sixteen billion, seven hundred ninety-three million, nine hundred fifty-one thousand, six hundred sixteen".