16138644962400 has 864 divisors, whose sum is σ = 60997945881600. Its totient is φ = 4159513036800.

The previous prime is 16138644962389. The next prime is 16138644962413. The reversal of 16138644962400 is 426944683161.

16138644962400 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 8 + 6 + 4 + 4 + 9 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×16138644962400² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7406444511 + ... + 7406446689.

It is an arithmetic number, because the mean of its divisors is an integer number (70599474400).

Almost surely, 2^{16138644962400} is an apocalyptic number.

16138644962400 is a gapful number since it is divisible by the number (10) 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 16138644962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30498972940800).

16138644962400 is an abundant number, since it is smaller than the sum of its proper divisors (44859300919200).

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

16138644962400 is a wasteful number, since it uses less digits than its factorization.

16138644962400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 16138644962400 in words is "sixteen trillion, one hundred thirty-eight billion, six hundred forty-four million, nine hundred sixty-two thousand, four hundred".