46688140801 has 8 divisors (see below), whose sum is σ = 47872045224. Its totient is φ = 45515458560.

The previous prime is 46688140787. The next prime is 46688140817. The reversal of 46688140801 is 10804188664.

It can be written as a sum of positive squares in 4 ways, for example, as 898560576 + 45789580225 = 29976^2 + 213985^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 46688140801 - 2⁵ = 46688140769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46688140861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2797120 + ... + 2813761.

It is an arithmetic number, because the mean of its divisors is an integer number (5984005653).

Almost surely, 2^46688140801 is an apocalyptic number.

It is an amenable number.

46688140801 is a deficient number, since it is larger than the sum of its proper divisors (1183904423).

46688140801 is a wasteful number, since it uses less digits than its factorization.

46688140801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5611091.

The product of its (nonzero) digits is 294912, while the sum is 46.

It can be divided in two parts, 46688 and 140801, that added together give a square (187489 = 433²).

The spelling of 46688140801 in words is "forty-six billion, six hundred eighty-eight million, one hundred forty thousand, eight hundred one".