37945899854973 has 24 divisors (see below), whose sum is σ = 59794499157120. Its totient is φ = 22997145836160.

The previous prime is 37945899854971. The next prime is 37945899855049.

37945899854973 is a `hidden beast` number, since 3 + 7 + 9 + 4 + 58 + 9 + 9 + 8 + 549 + 7 + 3 = 666.

37945899854973 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 37945899854973 - 2¹ = 37945899854971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37945899854971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3184540 + ... + 9275402.

It is an arithmetic number, because the mean of its divisors is an integer number (2491437464880).

Almost surely, 2^{37945899854973} is an apocalyptic number.

37945899854973 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

37945899854973 is a deficient number, since it is larger than the sum of its proper divisors (21848599302147).

37945899854973 is a wasteful number, since it uses less digits than its factorization.

37945899854973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6153809 (or 6153806 counting only the distinct ones).

The product of its digits is 74071065600, while the sum is 90.

The spelling of 37945899854973 in words is "thirty-seven trillion, nine hundred forty-five billion, eight hundred ninety-nine million, eight hundred fifty-four thousand, nine hundred seventy-three".