34946090901 has 20 divisors (see below), whose sum is σ = 52218647712. Its totient is φ = 23290598088.

The previous prime is 34946090849. The next prime is 34946090929. The reversal of 34946090901 is 10909064943.

34946090901 is a `hidden beast` number, since 34 + 9 + 4 + 609 + 0 + 9 + 0 + 1 = 666.

It is not a de Polignac number, because 34946090901 - 2¹⁴ = 34946074517 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34946090941) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 224526 + ... + 346848.

Almost surely, 2^34946090901 is an apocalyptic number.

It is an amenable number.

34946090901 is a deficient number, since it is larger than the sum of its proper divisors (17272556811).

34946090901 is a wasteful number, since it uses less digits than its factorization.

34946090901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125862 (or 125853 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 34946090901 in words is "thirty-four billion, nine hundred forty-six million, ninety thousand, nine hundred one".