37748955782112 has 192 divisors, whose sum is σ = 100284860422656. Its totient is φ = 12432390727680.

The previous prime is 37748955782089. The next prime is 37748955782119. The reversal of 37748955782112 is 21128755984773.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37748955782119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5359780063 + ... + 5359787105.

It is an arithmetic number, because the mean of its divisors is an integer number (522316981368).

Almost surely, 2^{37748955782112} is an apocalyptic number.

37748955782112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37748955782112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50142430211328).

37748955782112 is an abundant number, since it is smaller than the sum of its proper divisors (62535904640544).

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

37748955782112 is a wasteful number, since it uses less digits than its factorization.

37748955782112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9193 (or 9185 counting only the distinct ones).

The product of its digits is 237081600, while the sum is 69.

The spelling of 37748955782112 in words is "thirty-seven trillion, seven hundred forty-eight billion, nine hundred fifty-five million, seven hundred eighty-two thousand, one hundred twelve".