45414967759 has 16 divisors (see below), whose sum is σ = 56518502400. Its totient is φ = 35606650464.

The previous prime is 45414967727. The next prime is 45414967777. The reversal of 45414967759 is 95776941454.

It is not a de Polignac number, because 45414967759 - 2⁵ = 45414967727 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45414967697 and 45414967706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45414967789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5883487 + ... + 5891200.

It is an arithmetic number, because the mean of its divisors is an integer number (3532406400).

Almost surely, 2^45414967759 is an apocalyptic number.

45414967759 is a deficient number, since it is larger than the sum of its proper divisors (11103534641).

45414967759 is a wasteful number, since it uses less digits than its factorization.

45414967759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11774742.

The product of its digits is 38102400, while the sum is 61.

The spelling of 45414967759 in words is "forty-five billion, four hundred fourteen million, nine hundred sixty-seven thousand, seven hundred fifty-nine".