37542361248 has 192 divisors, whose sum is σ = 130582609920. Its totient is φ = 10259986176.

The previous prime is 37542361243. The next prime is 37542361279. The reversal of 37542361248 is 84216324573.

37542361248 is a `hidden beast` number, since 3 + 7 + 5 + 4 + 23 + 612 + 4 + 8 = 666.

37542361248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×37542361248³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (37542361243) 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, 4161 + ... + 274047.

It is an arithmetic number, because the mean of its divisors is an integer number (680117760).

Almost surely, 2^37542361248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37542361248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65291304960).

37542361248 is an abundant number, since it is smaller than the sum of its proper divisors (93040248672).

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

37542361248 is a wasteful number, since it uses less digits than its factorization.

37542361248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269936 (or 269922 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 37542361248 in words is "thirty-seven billion, five hundred forty-two million, three hundred sixty-one thousand, two hundred forty-eight".