18148412620800 has 3024 divisors, whose sum is σ = 86327190872832. Its totient is φ = 3669177139200.

The previous prime is 18148412620759. The next prime is 18148412620813. The reversal of 18148412620800 is 802621484181.

18148412620800 is a `hidden beast` number, since 1 + 8 + 1 + 4 + 8 + 4 + 12 + 620 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 490497638382 + ... + 490497638418.

Almost surely, 2^{18148412620800} is an apocalyptic number.

18148412620800 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 18148412620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43163595436416).

18148412620800 is an abundant number, since it is smaller than the sum of its proper divisors (68178778252032).

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

18148412620800 is an frugal number, since it uses more digits than its factorization.

18148412620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 18148412620800 in words is "eighteen trillion, one hundred forty-eight billion, four hundred twelve million, six hundred twenty thousand, eight hundred".