16631222400 has 1152 divisors, whose sum is σ = 70826270400. Its totient is φ = 3795517440.

The previous prime is 16631222369. The next prime is 16631222407. The reversal of 16631222400 is 422213661.

16631222400 is a `hidden beast` number, since 1 + 6 + 6 + 31 + 222 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (16631222407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 248227167 + ... + 248227233.

Almost surely, 2^16631222400 is an apocalyptic number.

16631222400 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 16631222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35413135200).

16631222400 is an abundant number, since it is smaller than the sum of its proper divisors (54195048000).

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

16631222400 is a wasteful number, since it uses less digits than its factorization.

16631222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 16631222400 in words is "sixteen billion, six hundred thirty-one million, two hundred twenty-two thousand, four hundred".