16148976480 has 480 divisors, whose sum is σ = 70149651264. Its totient is φ = 3407007744.

The previous prime is 16148976469. The next prime is 16148976509. The reversal of 16148976480 is 8467984161.

16148976480 is a `hidden beast` number, since 1 + 6 + 14 + 89 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 1172514 + ... + 1186206.

Almost surely, 2^16148976480 is an apocalyptic number.

16148976480 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 16148976480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35074825632).

16148976480 is an abundant number, since it is smaller than the sum of its proper divisors (54000674784).

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

16148976480 is a wasteful number, since it uses less digits than its factorization.

16148976480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13740 (or 13723 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 16148976480 in words is "sixteen billion, one hundred forty-eight million, nine hundred seventy-six thousand, four hundred eighty".