335142272829 has 192 divisors, whose sum is σ = 616132608000. Its totient is φ = 159977825280.

The previous prime is 335142272821. The next prime is 335142272833. The reversal of 335142272829 is 928272241533.

It is not a de Polignac number, because 335142272829 - 2³ = 335142272821 is a prime.

It is a super-2 number, since 2×335142272829² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335142272821) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88918857 + ... + 88922625.

It is an arithmetic number, because the mean of its divisors is an integer number (3209024000).

Almost surely, 2^335142272829 is an apocalyptic number.

335142272829 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

335142272829 is a deficient number, since it is larger than the sum of its proper divisors (280990335171).

335142272829 is a wasteful number, since it uses less digits than its factorization.

335142272829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3928 (or 3921 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 335142272829 in words is "three hundred thirty-five billion, one hundred forty-two million, two hundred seventy-two thousand, eight hundred twenty-nine".