16228098001632 has 192 divisors, whose sum is σ = 49212940089600. Its totient is φ = 4627585966080.

The previous prime is 16228098001631. The next prime is 16228098001637. The reversal of 16228098001632 is 23610089082261.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16228098001631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116061619 + ... + 116201357.

It is an arithmetic number, because the mean of its divisors is an integer number (256317396300).

Almost surely, 2^{16228098001632} is an apocalyptic number.

16228098001632 is a gapful number since it is divisible by the number (12) 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 16228098001632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24606470044800).

16228098001632 is an abundant number, since it is smaller than the sum of its proper divisors (32984842087968).

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

16228098001632 is a wasteful number, since it uses less digits than its factorization.

16228098001632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146249 (or 146241 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 16228098001632 in words is "sixteen trillion, two hundred twenty-eight billion, ninety-eight million, one thousand, six hundred thirty-two".