146501012448 has 96 divisors (see below), whose sum is σ = 488336728320. Its totient is φ = 41857430400.

The previous prime is 146501012443. The next prime is 146501012461. The reversal of 146501012448 is 844210105641.

146501012448 is a `hidden beast` number, since 146 + 50 + 10 + 12 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146501012443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12105478 + ... + 12117573.

It is an arithmetic number, because the mean of its divisors is an integer number (5086840920).

Almost surely, 2^146501012448 is an apocalyptic number.

146501012448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146501012448 is an abundant number, since it is smaller than the sum of its proper divisors (341835715872).

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

146501012448 is a wasteful number, since it uses less digits than its factorization.

146501012448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24223077 (or 24223063 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 146501012448 in words is "one hundred forty-six billion, five hundred one million, twelve thousand, four hundred forty-eight".