146338478048 has 72 divisors (see below), whose sum is σ = 335213070192. Its totient is φ = 62703051264.

The previous prime is 146338478047. The next prime is 146338478053. The reversal of 146338478048 is 840874833641.

146338478048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 146338477984 and 146338478002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146338478047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11623565 + ... + 11636147.

It is an arithmetic number, because the mean of its divisors is an integer number (4655737086).

Almost surely, 2^146338478048 is an apocalyptic number.

It is an amenable number.

146338478048 is an abundant number, since it is smaller than the sum of its proper divisors (188874592144).

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

146338478048 is a wasteful number, since it uses less digits than its factorization.

146338478048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20024 (or 20009 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 56.

The spelling of 146338478048 in words is "one hundred forty-six billion, three hundred thirty-eight million, four hundred seventy-eight thousand, forty-eight".