34523238465216 has 168 divisors, whose sum is σ = 105138043835760. Its totient is φ = 10830819022848.

The previous prime is 34523238465179. The next prime is 34523238465253. The reversal of 34523238465216 is 61256483232543.

34523238465216 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 32 + 3 + 84 + 6 + 521 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (34523238465179) and next prime (34523238465253).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3269866 + ... + 8929641.

Almost surely, 2^{34523238465216} is an apocalyptic number.

34523238465216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34523238465216 is an abundant number, since it is smaller than the sum of its proper divisors (70614805370544).

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

34523238465216 is a wasteful number, since it uses less digits than its factorization.

34523238465216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12199576 (or 12199529 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 34523238465216 in words is "thirty-four trillion, five hundred twenty-three billion, two hundred thirty-eight million, four hundred sixty-five thousand, two hundred sixteen".