45584787625 has 32 divisors (see below), whose sum is σ = 61954532640. Its totient is φ = 33284275200.

The previous prime is 45584787607. The next prime is 45584787637. The reversal of 45584787625 is 52678748554.

45584787625 = 150971² + 150972².

It can be written as a sum of positive squares in 16 ways, for example, as 45541267216 + 43520409 = 213404^2 + 6597^2 .

It is not a de Polignac number, because 45584787625 - 2²⁵ = 45551233193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12972 + ... + 302221.

It is an arithmetic number, because the mean of its divisors is an integer number (1936079145).

Almost surely, 2^45584787625 is an apocalyptic number.

45584787625 is the 150972-nd centered square number.

It is an amenable number.

45584787625 is a deficient number, since it is larger than the sum of its proper divisors (16369745015).

45584787625 is a wasteful number, since it uses less digits than its factorization.

45584787625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315310 (or 315300 counting only the distinct ones).

The product of its digits is 75264000, while the sum is 61.

The spelling of 45584787625 in words is "forty-five billion, five hundred eighty-four million, seven hundred eighty-seven thousand, six hundred twenty-five".