37458892849 has 27 divisors (see below), whose sum is σ = 44681048793. Its totient is φ = 31312160712.

The previous prime is 37458892847. The next prime is 37458892859. The reversal of 37458892849 is 94829885473.

The square root of 37458892849 is 193543.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 37458892849 - 2¹ = 37458892847 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37458892847) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58256122 + ... + 58256764.

It is an arithmetic number, because the mean of its divisors is an integer number (1654853659).

Almost surely, 2^37458892849 is an apocalyptic number.

37458892849 is the 193543-rd square number.

37458892849 is the 96772-nd centered octagonal number.

It is an amenable number.

37458892849 is a deficient number, since it is larger than the sum of its proper divisors (7222155944).

37458892849 is an frugal number, since it uses more digits than its factorization.

37458892849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 693 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 67.

The spelling of 37458892849 in words is "thirty-seven billion, four hundred fifty-eight million, eight hundred ninety-two thousand, eight hundred forty-nine".