146463401448 has 1024 divisors, whose sum is σ = 547164979200. Its totient is φ = 35254517760.

The previous prime is 146463401431. The next prime is 146463401449. The reversal of 146463401448 is 844104364641.

146463401448 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 634 + 0 + 1 + 4 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (146463401449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1296136240 + ... + 1296136352.

It is an arithmetic number, because the mean of its divisors is an integer number (534340800).

Almost surely, 2^146463401448 is an apocalyptic number.

146463401448 is a gapful number since it is divisible by the number (18) 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 146463401448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273582489600).

146463401448 is an abundant number, since it is smaller than the sum of its proper divisors (400701577752).

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

146463401448 is a wasteful number, since it uses less digits than its factorization.

146463401448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 146463401448 in words is "one hundred forty-six billion, four hundred sixty-three million, four hundred one thousand, four hundred forty-eight".