45617437261 has 16 divisors (see below), whose sum is σ = 51132424896. Its totient is φ = 40336560000.

The previous prime is 45617437259. The next prime is 45617437289. The reversal of 45617437261 is 16273471654.

45617437261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45617437261 - 2¹ = 45617437259 is a prime.

It is a super-2 number, since 2×45617437261² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45617437361) 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, 3510 + ... + 302071.

It is an arithmetic number, because the mean of its divisors is an integer number (3195776556).

Almost surely, 2^45617437261 is an apocalyptic number.

45617437261 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

45617437261 is a deficient number, since it is larger than the sum of its proper divisors (5514987635).

45617437261 is a wasteful number, since it uses less digits than its factorization.

45617437261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305964.

The product of its digits is 846720, while the sum is 46.

The spelling of 45617437261 in words is "forty-five billion, six hundred seventeen million, four hundred thirty-seven thousand, two hundred sixty-one".