146447118720 has 512 divisors, whose sum is σ = 600120345600. Its totient is φ = 33471387648.

The previous prime is 146447118677. The next prime is 146447118737. The reversal of 146447118720 is 27811744641.

146447118720 is a `hidden beast` number, since 1 + 4 + 6 + 447 + 1 + 187 + 20 = 666.

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 63 ways as a sum of consecutive naturals, for example, 9790287 + ... + 9805233.

It is an arithmetic number, because the mean of its divisors is an integer number (1172110050).

Almost surely, 2^146447118720 is an apocalyptic number.

146447118720 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 146447118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300060172800).

146447118720 is an abundant number, since it is smaller than the sum of its proper divisors (453673226880).

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

146447118720 is an frugal number, since it uses more digits than its factorization.

146447118720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14994 (or 14964 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 146447118720 in words is "one hundred forty-six billion, four hundred forty-seven million, one hundred eighteen thousand, seven hundred twenty".