2333129046138 has 160 divisors (see below), whose sum is σ = 5724401855040. Its totient is φ = 704386368000.

The previous prime is 2333129046137. The next prime is 2333129046169. The reversal of 2333129046138 is 8316409213332.

2333129046138 is a `hidden beast` number, since 2 + 3 + 3 + 3 + 1 + 29 + 0 + 4 + 613 + 8 = 666.

It is a super-2 number, since 2×2333129046138² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2333129046093 and 2333129046102.

It is not an unprimeable number, because it can be changed into a prime (2333129046137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 620346178 + ... + 620349938.

It is an arithmetic number, because the mean of its divisors is an integer number (35777511594).

Almost surely, 2^{2333129046138} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2333129046138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862200927520).

2333129046138 is an abundant number, since it is smaller than the sum of its proper divisors (3391272808902).

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

2333129046138 is a wasteful number, since it uses less digits than its factorization.

2333129046138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4986 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 2333129046138 in words is "two trillion, three hundred thirty-three billion, one hundred twenty-nine million, forty-six thousand, one hundred thirty-eight".