18148147200 has 450 divisors, whose sum is σ = 67354141316. Its totient is φ = 4830658560.

The previous prime is 18148147189. The next prime is 18148147201. The reversal of 18148147200 is 274184181.

18148147200 is a `hidden beast` number, since 181 + 4 + 8 + 1 + 472 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18148147201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 33177327 + ... + 33177873.

Almost surely, 2^18148147200 is an apocalyptic number.

18148147200 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 18148147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33677070658).

18148147200 is an abundant number, since it is smaller than the sum of its proper divisors (49205994116).

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

18148147200 is an frugal number, since it uses more digits than its factorization.

18148147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 18148147200 in words is "eighteen billion, one hundred forty-eight million, one hundred forty-seven thousand, two hundred".