16148563200 has 972 divisors, whose sum is σ = 72745420384. Its totient is φ = 3345408000.

The previous prime is 16148563159. The next prime is 16148563213. The reversal of 16148563200 is 236584161.

It is a happy number.

16148563200 is a `hidden beast` number, since 1 + 6 + 14 + 8 + 5 + 632 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 48787035 + ... + 48787365.

Almost surely, 2^16148563200 is an apocalyptic number.

16148563200 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 16148563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36372710192).

16148563200 is an abundant number, since it is smaller than the sum of its proper divisors (56596857184).

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

16148563200 is a wasteful number, since it uses less digits than its factorization.

16148563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 16148563200 in words is "sixteen billion, one hundred forty-eight million, five hundred sixty-three thousand, two hundred".