148225279104 has 384 divisors, whose sum is σ = 510352920000. Its totient is φ = 42228781056.

The previous prime is 148225279091. The next prime is 148225279129. The reversal of 148225279104 is 401972522841.

148225279104 is a `hidden beast` number, since 14 + 8 + 2 + 2 + 527 + 9 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 148225279104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70954092 + ... + 70956180.

Almost surely, 2^148225279104 is an apocalyptic number.

148225279104 is a gapful number since it is divisible by the number (14) 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 148225279104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255176460000).

148225279104 is an abundant number, since it is smaller than the sum of its proper divisors (362127640896).

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

148225279104 is a wasteful number, since it uses less digits than its factorization.

148225279104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 148225279104 in words is "one hundred forty-eight billion, two hundred twenty-five million, two hundred seventy-nine thousand, one hundred four".