16376629248 has 336 divisors, whose sum is σ = 56144874240. Its totient is φ = 4676050944.

The previous prime is 16376629231. The next prime is 16376629273. The reversal of 16376629248 is 84292667361.

16376629248 is a `hidden beast` number, since 1 + 6 + 3 + 7 + 6 + 629 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 16376629194 and 16376629203.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10450161 + ... + 10451727.

It is an arithmetic number, because the mean of its divisors is an integer number (167097840).

Almost surely, 2^16376629248 is an apocalyptic number.

16376629248 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 16376629248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28072437120).

16376629248 is an abundant number, since it is smaller than the sum of its proper divisors (39768244992).

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

16376629248 is an frugal number, since it uses more digits than its factorization.

16376629248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1579 counting only the distinct ones).

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

The spelling of 16376629248 in words is "sixteen billion, three hundred seventy-six million, six hundred twenty-nine thousand, two hundred forty-eight".