34133114000 has 40 divisors (see below), whose sum is σ = 82533874488. Its totient is φ = 13653244800.

The previous prime is 34133113943. The next prime is 34133114011. The reversal of 34133114000 is 41133143.

It can be written as a sum of positive squares in 4 ways, for example, as 1290496 + 34131823504 = 1136^2 + 184748^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8531279 + ... + 8535278.

Almost surely, 2^34133114000 is an apocalyptic number.

It is an amenable number.

34133114000 is an abundant number, since it is smaller than the sum of its proper divisors (48400760488).

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

34133114000 is a wasteful number, since it uses less digits than its factorization.

34133114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17066580 (or 17066564 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 34133114000 its reverse (41133143), we get a palindrome (34174247143).

The spelling of 34133114000 in words is "thirty-four billion, one hundred thirty-three million, one hundred fourteen thousand".