37845000084345 has 64 divisors (see below), whose sum is σ = 63203304858624. Its totient is φ = 19318921390080.

The previous prime is 37845000084343. The next prime is 37845000084407. The reversal of 37845000084345 is 54348000054873.

It is a happy number.

It is not a de Polignac number, because 37845000084345 - 2¹ = 37845000084343 is a prime.

It is a super-2 number, since 2×37845000084345² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (37845000084343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 716965824 + ... + 717018606.

It is an arithmetic number, because the mean of its divisors is an integer number (987551638416).

Almost surely, 2^{37845000084345} is an apocalyptic number.

It is an amenable number.

37845000084345 is a deficient number, since it is larger than the sum of its proper divisors (25358304774279).

37845000084345 is a wasteful number, since it uses less digits than its factorization.

37845000084345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74882.

The product of its (nonzero) digits is 6451200, while the sum is 51.

The spelling of 37845000084345 in words is "thirty-seven trillion, eight hundred forty-five billion, eighty-four thousand, three hundred forty-five".