13444606071900 has 432 divisors, whose sum is σ = 45371407169088. Its totient is φ = 3317787648000.

The previous prime is 13444606071899. The next prime is 13444606071913. The reversal of 13444606071900 is 917060644431.

13444606071900 is a `hidden beast` number, since 1 + 3 + 44 + 460 + 60 + 7 + 1 + 90 + 0 = 666.

It is a super-2 number, since 2×13444606071900² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 405173310 + ... + 405206490.

It is an arithmetic number, because the mean of its divisors is an integer number (105026405484).

Almost surely, 2^{13444606071900} is an apocalyptic number.

13444606071900 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 13444606071900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22685703584544).

13444606071900 is an abundant number, since it is smaller than the sum of its proper divisors (31926801097188).

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

13444606071900 is a wasteful number, since it uses less digits than its factorization.

13444606071900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33662 (or 33652 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13444606071900 in words is "thirteen trillion, four hundred forty-four billion, six hundred six million, seventy-one thousand, nine hundred".