45151004735505 has 24 divisors (see below), whose sum is σ = 79333820198568. Its totient is φ = 23750665502976.

The previous prime is 45151004735429. The next prime is 45151004735513. The reversal of 45151004735505 is 50553740015154.

45151004735505 is a `hidden beast` number, since 4 + 5 + 1 + 5 + 100 + 4 + 7 + 35 + 505 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13149819607824 + 32001185127681 = 3626268^2 + 5656959^2 .

It is not a de Polignac number, because 45151004735505 - 2¹⁵ = 45151004702737 is a prime.

It is a super-2 number, since 2×45151004735505² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6872295762 + ... + 6872302331.

It is an arithmetic number, because the mean of its divisors is an integer number (3305575841607).

Almost surely, 2^{45151004735505} is an apocalyptic number.

45151004735505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45151004735505 is a deficient number, since it is larger than the sum of its proper divisors (34182815463063).

45151004735505 is a wasteful number, since it uses less digits than its factorization.

45151004735505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13744598177 (or 13744598174 counting only the distinct ones).

The product of its (nonzero) digits is 1050000, while the sum is 45.

The spelling of 45151004735505 in words is "forty-five trillion, one hundred fifty-one billion, four million, seven hundred thirty-five thousand, five hundred five".