46444267705407 has 48 divisors (see below), whose sum is σ = 73875869513856. Its totient is φ = 25725551280000.

The previous prime is 46444267705369. The next prime is 46444267705411. The reversal of 46444267705407 is 70450776244464.

It is not a de Polignac number, because 46444267705407 - 2¹⁰ = 46444267704383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46444267705427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40663569 + ... + 41790122.

It is an arithmetic number, because the mean of its divisors is an integer number (1539080614872).

Almost surely, 2^{46444267705407} is an apocalyptic number.

46444267705407 is a deficient number, since it is larger than the sum of its proper divisors (27431601808449).

46444267705407 is a wasteful number, since it uses less digits than its factorization.

46444267705407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82453832 (or 82453819 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 60.

The spelling of 46444267705407 in words is "forty-six trillion, four hundred forty-four billion, two hundred sixty-seven million, seven hundred five thousand, four hundred seven".