1538174212000 has 384 divisors, whose sum is σ = 4124404956672. Its totient is φ = 561420288000.

The previous prime is 1538174211989. The next prime is 1538174212007. The reversal of 1538174212000 is 2124718351.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (1538174212007) 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 63 ways as a sum of consecutive naturals, for example, 832795077 + ... + 832796923.

It is an arithmetic number, because the mean of its divisors is an integer number (10740637908).

Almost surely, 2^{1538174212000} is an apocalyptic number.

1538174212000 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 1538174212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062202478336).

1538174212000 is an abundant number, since it is smaller than the sum of its proper divisors (2586230744672).

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

1538174212000 is a wasteful number, since it uses less digits than its factorization.

1538174212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 1538174212000 in words is "one trillion, five hundred thirty-eight billion, one hundred seventy-four million, two hundred twelve thousand".