193906306839648 has 96 divisors (see below), whose sum is σ = 549379057500000. Its totient is φ = 59530598055936.

The previous prime is 193906306839613. The next prime is 193906306839683. The reversal of 193906306839648 is 846938603609391.

It is an interprime number because it is at equal distance from previous prime (193906306839613) and next prime (193906306839683).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 193906306839648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172461523 + ... + 173582226.

It is an arithmetic number, because the mean of its divisors is an integer number (5722698515625).

Almost surely, 2^{193906306839648} is an apocalyptic number.

It is an amenable number.

193906306839648 is an abundant number, since it is smaller than the sum of its proper divisors (355472750660352).

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

193906306839648 is a wasteful number, since it uses less digits than its factorization.

193906306839648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346044224 (or 346044216 counting only the distinct ones).

The product of its (nonzero) digits is 1088391168, while the sum is 75.

The spelling of 193906306839648 in words is "one hundred ninety-three trillion, nine hundred six billion, three hundred six million, eight hundred thirty-nine thousand, six hundred forty-eight".