148224418874112 has 1728 divisors, whose sum is σ = 497606301803520. Its totient is φ = 38974719393792.

The previous prime is 148224418874101. The next prime is 148224418874131. The reversal of 148224418874112 is 211478814422841.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 652971008143 + ... + 652971008369.

It is an arithmetic number, because the mean of its divisors is an integer number (287966609840).

Almost surely, 2^{148224418874112} is an apocalyptic number.

148224418874112 is a gapful number since it is divisible by the number (12) 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 148224418874112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248803150901760).

148224418874112 is an abundant number, since it is smaller than the sum of its proper divisors (349381882929408).

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

148224418874112 is a wasteful number, since it uses less digits than its factorization.

148224418874112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 565 counting only the distinct ones).

The product of its digits is 7340032, while the sum is 57.

The spelling of 148224418874112 in words is "one hundred forty-eight trillion, two hundred twenty-four billion, four hundred eighteen million, eight hundred seventy-four thousand, one hundred twelve".