6137391845376 has 1755 divisors, whose sum is σ = 22378833442273. Its totient is φ = 1674309795840.

The previous prime is 6137391845363. The next prime is 6137391845407. The reversal of 6137391845376 is 6735481937316.

The square root of 6137391845376 is 2477376.

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

6137391845376 is a `hidden beast` number, since 6 + 1 + 3 + 7 + 3 + 91 + 8 + 4 + 537 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4778246246400 + 1359145598976 = 2185920^2 + 1165824^2 .

Its product of digits (68584320) is a multiple of the sum of its prime divisors (56).

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 134 ways as a sum of consecutive naturals, for example, 266843123701 + ... + 266843123723.

Almost surely, 2^{6137391845376} is an apocalyptic number.

6137391845376 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6137391845376 is the 2477376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6137391845376

6137391845376 is an abundant number, since it is smaller than the sum of its proper divisors (16241441596897).

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

6137391845376 is a wasteful number, since it uses less digits than its factorization.

6137391845376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 56 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 6137391845376 in words is "six trillion, one hundred thirty-seven billion, three hundred ninety-one million, eight hundred forty-five thousand, three hundred seventy-six".