14348691648 has 224 divisors, whose sum is σ = 42895032320. Its totient is φ = 4702924800.

The previous prime is 14348691647. The next prime is 14348691677. The reversal of 14348691648 is 84619684341.

14348691648 is a `hidden beast` number, since 1 + 434 + 86 + 91 + 6 + 48 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14348691594 and 14348691603.

It is not an unprimeable number, because it can be changed into a prime (14348691647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33137640 + ... + 33138072.

It is an arithmetic number, because the mean of its divisors is an integer number (191495680).

Almost surely, 2^14348691648 is an apocalyptic number.

14348691648 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 14348691648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21447516160).

14348691648 is an abundant number, since it is smaller than the sum of its proper divisors (28546340672).

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

14348691648 is a wasteful number, since it uses less digits than its factorization.

14348691648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 716 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 14348691648 in words is "fourteen billion, three hundred forty-eight million, six hundred ninety-one thousand, six hundred forty-eight".