16363964990016 has 924 divisors, whose sum is σ = 59655382268880. Its totient is φ = 4428391564800.

The previous prime is 16363964989991. The next prime is 16363964990053. The reversal of 16363964990016 is 61009946936361.

16363964990016 is a `hidden beast` number, since 16 + 36 + 3 + 96 + 499 + 0 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 3518373291 + ... + 3518377941.

Almost surely, 2^{16363964990016} is an apocalyptic number.

16363964990016 is a gapful number since it is divisible by the number (16) 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 16363964990016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29827691134440).

16363964990016 is an abundant number, since it is smaller than the sum of its proper divisors (43291417278864).

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

16363964990016 is an frugal number, since it uses more digits than its factorization.

16363964990016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 4682 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 63.

The spelling of 16363964990016 in words is "sixteen trillion, three hundred sixty-three billion, nine hundred sixty-four million, nine hundred ninety thousand, sixteen".