16902101664 has 144 divisors (see below), whose sum is σ = 54970755840. Its totient is φ = 4825751040.

The previous prime is 16902101663. The next prime is 16902101717. The reversal of 16902101664 is 46610120961.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (16902101663) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4653129 + ... + 4656759.

It is an arithmetic number, because the mean of its divisors is an integer number (381741360).

Almost surely, 2^16902101664 is an apocalyptic number.

16902101664 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 16902101664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27485377920).

16902101664 is an abundant number, since it is smaller than the sum of its proper divisors (38068654176).

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

16902101664 is a wasteful number, since it uses less digits than its factorization.

16902101664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5963 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 16902101664 in words is "sixteen billion, nine hundred two million, one hundred one thousand, six hundred sixty-four".