429859194331968 has 210 divisors, whose sum is σ = 1353601581211286. Its totient is φ = 134857785987072.

The previous prime is 429859194331961. The next prime is 429859194331979. The reversal of 429859194331968 is 869133491958924.

429859194331968 is a `hidden beast` number, since 4 + 2 + 9 + 8 + 5 + 9 + 194 + 331 + 96 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 114358898352384 + 315500295979584 = 10693872^2 + 17762328^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429859194331961) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 141962671 + ... + 144959022.

Almost surely, 2^{429859194331968} is an apocalyptic number.

429859194331968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

429859194331968 is an abundant number, since it is smaller than the sum of its proper divisors (923742386879318).

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

429859194331968 is a wasteful number, since it uses less digits than its factorization.

429859194331968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286921751 (or 286921715 counting only the distinct ones).

The product of its digits is 3627970560, while the sum is 81.

The spelling of 429859194331968 in words is "four hundred twenty-nine trillion, eight hundred fifty-nine billion, one hundred ninety-four million, three hundred thirty-one thousand, nine hundred sixty-eight".