145414435302432 has 96 divisors (see below), whose sum is σ = 425463372230400. Its totient is φ = 48318571471104.

The previous prime is 145414435302361. The next prime is 145414435302491. The reversal of 145414435302432 is 234203534414541.

It is a happy number.

145414435302432 is a `hidden beast` number, since 1 + 4 + 5 + 41 + 4 + 43 + 530 + 2 + 4 + 32 = 666.

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

It is a super-2 number, since 2×145414435302432² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 265189432 + ... + 265737207.

It is an arithmetic number, because the mean of its divisors is an integer number (4431910127400).

Almost surely, 2^{145414435302432} is an apocalyptic number.

145414435302432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145414435302432 is an abundant number, since it is smaller than the sum of its proper divisors (280048936927968).

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

145414435302432 is a wasteful number, since it uses less digits than its factorization.

145414435302432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530926975 (or 530926961 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

Adding to 145414435302432 its reverse (234203534414541), we get a palindrome (379617969716973).

The spelling of 145414435302432 in words is "one hundred forty-five trillion, four hundred fourteen billion, four hundred thirty-five million, three hundred two thousand, four hundred thirty-two".