146763067024448 has 168 divisors, whose sum is σ = 339554555128800. Its totient is φ = 62754965747712.

The previous prime is 146763067024447. The next prime is 146763067024537. The reversal of 146763067024448 is 844420760367641.

It is not an unprimeable number, because it can be changed into a prime (146763067024447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4869524963 + ... + 4869555101.

Almost surely, 2^{146763067024448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146763067024448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169777277564400).

146763067024448 is an abundant number, since it is smaller than the sum of its proper divisors (192791488104352).

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

146763067024448 is a wasteful number, since it uses less digits than its factorization.

146763067024448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33657 (or 33640 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 62.

The spelling of 146763067024448 in words is "one hundred forty-six trillion, seven hundred sixty-three billion, sixty-seven million, twenty-four thousand, four hundred forty-eight".