18746321425920 has 1280 divisors, whose sum is σ = 77667317544960. Its totient is φ = 4235408179200.

The previous prime is 18746321425873. The next prime is 18746321425921. The reversal of 18746321425920 is 2952412364781.

It is a happy number.

18746321425920 is a `hidden beast` number, since 1 + 8 + 7 + 4 + 6 + 3 + 2 + 1 + 42 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18746321425921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1331313280 + ... + 1331327360.

It is an arithmetic number, because the mean of its divisors is an integer number (60677591832).

It is a 2-persistent number, because it is pandigital, and so is 2⋅18746321425920 = 37492642851840, but 3⋅18746321425920 = 56238964277760 is not.

Almost surely, 2^{18746321425920} is an apocalyptic number.

18746321425920 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 18746321425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38833658772480).

18746321425920 is an abundant number, since it is smaller than the sum of its proper divisors (58920996119040).

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

18746321425920 is a wasteful number, since it uses less digits than its factorization.

18746321425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14244 (or 14222 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 18746321425920 in words is "eighteen trillion, seven hundred forty-six billion, three hundred twenty-one million, four hundred twenty-five thousand, nine hundred twenty".