37418084145 has 48 divisors (see below), whose sum is σ = 69868103760. Its totient is φ = 18415669248.

The previous prime is 37418084087. The next prime is 37418084161. The reversal of 37418084145 is 54148081473.

It can be written as a sum of positive squares in 8 ways, for example, as 17776622241 + 19641461904 = 133329^2 + 140148^2 .

It is not a de Polignac number, because 37418084145 - 2¹⁹ = 37417559857 is a prime.

It is a super-4 number, since 4×37418084145⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 37418084145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2492221 + ... + 2507189.

It is an arithmetic number, because the mean of its divisors is an integer number (1455585495).

Almost surely, 2^37418084145 is an apocalyptic number.

It is an amenable number.

37418084145 is a deficient number, since it is larger than the sum of its proper divisors (32450019615).

37418084145 is a wasteful number, since it uses less digits than its factorization.

37418084145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19266 (or 19263 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 37418084145 in words is "thirty-seven billion, four hundred eighteen million, eighty-four thousand, one hundred forty-five".