37748008387845 has 128 divisors (see below), whose sum is σ = 78334547558400. Its totient is φ = 16887270272256.

The previous prime is 37748008387807. The next prime is 37748008387877. The reversal of 37748008387845 is 54878380084773.

It is a happy number.

37748008387845 is a `hidden beast` number, since 3 + 7 + 7 + 480 + 0 + 8 + 38 + 78 + 45 = 666.

It is not a de Polignac number, because 37748008387845 - 2¹⁴ = 37748008371461 is a prime.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 469293091 + ... + 469373519.

It is an arithmetic number, because the mean of its divisors is an integer number (611988652800).

Almost surely, 2^{37748008387845} is an apocalyptic number.

37748008387845 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

37748008387845 is an abundant number, since it is smaller than the sum of its proper divisors (40586539170555).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37748008387845 is a wasteful number, since it uses less digits than its factorization.

37748008387845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91064 (or 91058 counting only the distinct ones).

The product of its (nonzero) digits is 1011548160, while the sum is 72.

The spelling of 37748008387845 in words is "thirty-seven trillion, seven hundred forty-eight billion, eight million, three hundred eighty-seven thousand, eight hundred forty-five".