45351811791 has 320 divisors, whose sum is σ = 87597417600. Its totient is φ = 22992076800.

The previous prime is 45351811763. The next prime is 45351811811. The reversal of 45351811791 is 19711815354.

45351811791 is a `hidden beast` number, since 4 + 53 + 518 + 11 + 79 + 1 = 666.

It is not a de Polignac number, because 45351811791 - 2¹⁹ = 45351287503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45351811741) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 509570875 + ... + 509570963.

It is an arithmetic number, because the mean of its divisors is an integer number (273741930).

Almost surely, 2^45351811791 is an apocalyptic number.

45351811791 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

45351811791 is a deficient number, since it is larger than the sum of its proper divisors (42245605809).

45351811791 is a wasteful number, since it uses less digits than its factorization.

45351811791 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 223 counting only the distinct ones).

The product of its digits is 151200, while the sum is 45.

The spelling of 45351811791 in words is "forty-five billion, three hundred fifty-one million, eight hundred eleven thousand, seven hundred ninety-one".