16498145664 has 1024 divisors, whose sum is σ = 69092352000. Its totient is φ = 3732480000.

The previous prime is 16498145659. The next prime is 16498145681. The reversal of 16498145664 is 46654189461.

16498145664 is a `hidden beast` number, since 1 + 6 + 498 + 145 + 6 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

Its product of digits (4976640) is a multiple of the sum of its prime factors (324).

It is a self number, because there is not a number n which added to its sum of digits gives 16498145664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65729539 + ... + 65729789.

It is an arithmetic number, because the mean of its divisors is an integer number (67473000).

Almost surely, 2^16498145664 is an apocalyptic number.

16498145664 is a gapful number since it is divisible by the number (14) 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 16498145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34546176000).

16498145664 is an abundant number, since it is smaller than the sum of its proper divisors (52594206336).

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

16498145664 is a wasteful number, since it uses less digits than its factorization.

16498145664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 306 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 16498145664 in words is "sixteen billion, four hundred ninety-eight million, one hundred forty-five thousand, six hundred sixty-four".