146838431904 has 72 divisors (see below), whose sum is σ = 402938397792. Its totient is φ = 46818034560.

The previous prime is 146838431863. The next prime is 146838431917. The reversal of 146838431904 is 409134838641.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1394932 + ... + 1496499.

It is an arithmetic number, because the mean of its divisors is an integer number (5596366636).

Almost surely, 2^146838431904 is an apocalyptic number.

It is an amenable number.

146838431904 is an abundant number, since it is smaller than the sum of its proper divisors (256099965888).

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

146838431904 is a wasteful number, since it uses less digits than its factorization.

146838431904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891490 (or 2891459 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 146838431904 in words is "one hundred forty-six billion, eight hundred thirty-eight million, four hundred thirty-one thousand, nine hundred four".