16733148480 has 560 divisors, whose sum is σ = 62435506320. Its totient is φ = 4248502272.

The previous prime is 16733148469. The next prime is 16733148491. The reversal of 16733148480 is 8484133761.

16733148480 is a `hidden beast` number, since 1 + 67 + 3 + 31 + 484 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (16733148469) and next prime (16733148491).

It can be written as a sum of positive squares in 8 ways, for example, as 67371264 + 16665777216 = 8208^2 + 129096^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 84939742 + ... + 84939938.

Almost surely, 2^16733148480 is an apocalyptic number.

16733148480 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 16733148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31217753160).

16733148480 is an abundant number, since it is smaller than the sum of its proper divisors (45702357840).

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

16733148480 is a wasteful number, since it uses less digits than its factorization.

16733148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 16733148480 in words is "sixteen billion, seven hundred thirty-three million, one hundred forty-eight thousand, four hundred eighty".