146264640432432 has 80 divisors (see below), whose sum is σ = 401837563666560. Its totient is φ = 45712660248576.

The previous prime is 146264640432377. The next prime is 146264640432437. The reversal of 146264640432432 is 234234046462641.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (146264640432437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826601718 + ... + 826778645.

It is an arithmetic number, because the mean of its divisors is an integer number (5022969545832).

Almost surely, 2^{146264640432432} is an apocalyptic number.

146264640432432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146264640432432 is an abundant number, since it is smaller than the sum of its proper divisors (255572923234128).

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

146264640432432 is a wasteful number, since it uses less digits than its factorization.

146264640432432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653380490 (or 1653380484 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 51.

The spelling of 146264640432432 in words is "one hundred forty-six trillion, two hundred sixty-four billion, six hundred forty million, four hundred thirty-two thousand, four hundred thirty-two".