148002220828800 has 1536 divisors, whose sum is σ = 600041761536000. Its totient is φ = 35389643489280.

The previous prime is 148002220828799. The next prime is 148002220828823. The reversal of 148002220828800 is 8828022200841.

148002220828800 is a `hidden beast` number, since 148 + 0 + 0 + 2 + 220 + 8 + 288 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 29464903089 + ... + 29464908111.

It is an arithmetic number, because the mean of its divisors is an integer number (390652188500).

Almost surely, 2^{148002220828800} is an apocalyptic number.

148002220828800 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 148002220828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300020880768000).

148002220828800 is an abundant number, since it is smaller than the sum of its proper divisors (452039540707200).

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

148002220828800 is a wasteful number, since it uses less digits than its factorization.

148002220828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5815 (or 5792 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 148002220828800 in words is "one hundred forty-eight trillion, two billion, two hundred twenty million, eight hundred twenty-eight thousand, eight hundred".