16748460454968 has 192 divisors, whose sum is σ = 51369100473600. Its totient is φ = 5070121620480.

The previous prime is 16748460454927. The next prime is 16748460454991. The reversal of 16748460454968 is 86945406484761.

16748460454968 is a `hidden beast` number, since 1 + 6 + 7 + 4 + 8 + 4 + 604 + 5 + 4 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×16748460454968² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16748460454896 and 16748460454905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20622088 + ... + 21418856.

It is an arithmetic number, because the mean of its divisors is an integer number (267547398300).

Almost surely, 2^{16748460454968} is an apocalyptic number.

16748460454968 is a gapful number since it is divisible by the number (18) 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 16748460454968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25684550236800).

16748460454968 is an abundant number, since it is smaller than the sum of its proper divisors (34620640018632).

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

16748460454968 is a wasteful number, since it uses less digits than its factorization.

16748460454968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797784 (or 797768 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 16748460454968 in words is "sixteen trillion, seven hundred forty-eight billion, four hundred sixty million, four hundred fifty-four thousand, nine hundred sixty-eight".