16348469760 has 600 divisors, whose sum is σ = 68157395460. Its totient is φ = 3734470656.

The previous prime is 16348469723. The next prime is 16348469771. The reversal of 16348469760 is 6796484361.

16348469760 is a `hidden beast` number, since 16 + 3 + 484 + 6 + 97 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15372032256 + 976437504 = 123984^2 + 31248^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 16348469697 and 16348469706.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10159836 + ... + 10161444.

Almost surely, 2^16348469760 is an apocalyptic number.

16348469760 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 16348469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34078697730).

16348469760 is an abundant number, since it is smaller than the sum of its proper divisors (51808925700).

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

16348469760 is an equidigital number, since it uses as much as digits as its factorization.

16348469760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 16348469760 in words is "sixteen billion, three hundred forty-eight million, four hundred sixty-nine thousand, seven hundred sixty".