16464053404764 has 576 divisors, whose sum is σ = 52974223948800. Its totient is φ = 4316709666816.

The previous prime is 16464053404753. The next prime is 16464053404783. The reversal of 16464053404764 is 46740435046461.

16464053404764 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 4 + 0 + 534 + 0 + 47 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16464053404764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8715749932 + ... + 8715751820.

It is an arithmetic number, because the mean of its divisors is an integer number (91969138800).

Almost surely, 2^{16464053404764} is an apocalyptic number.

16464053404764 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 16464053404764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26487111974400).

16464053404764 is an abundant number, since it is smaller than the sum of its proper divisors (36510170544036).

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

16464053404764 is a wasteful number, since it uses less digits than its factorization.

16464053404764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 16464053404764 in words is "sixteen trillion, four hundred sixty-four billion, fifty-three million, four hundred four thousand, seven hundred sixty-four".