18745146662400 has 960 divisors, whose sum is σ = 71455386562560. Its totient is φ = 4808031436800.

The previous prime is 18745146662399. The next prime is 18745146662441. The reversal of 18745146662400 is 426664154781.

It is a tau number, because it is divible by the number of its divisors (960).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1789165962 + ... + 1789176438.

It is an arithmetic number, because the mean of its divisors is an integer number (74432694336).

Almost surely, 2^{18745146662400} is an apocalyptic number.

18745146662400 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 18745146662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35727693281280).

18745146662400 is an abundant number, since it is smaller than the sum of its proper divisors (52710239900160).

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

18745146662400 is a wasteful number, since it uses less digits than its factorization.

18745146662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10712 (or 10685 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 18745146662400 in words is "eighteen trillion, seven hundred forty-five billion, one hundred forty-six million, six hundred sixty-two thousand, four hundred".