537685014956544 has 1920 divisors, whose sum is σ = 2023277029982208. Its totient is φ = 133648344023040.

The previous prime is 537685014956543. The next prime is 537685014956549. The reversal of 537685014956544 is 445659410586735.

537685014956544 is a `hidden beast` number, since 5 + 3 + 7 + 6 + 8 + 5 + 0 + 14 + 9 + 565 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (537685014956543) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 221908795717 + ... + 221908798139.

Almost surely, 2^{537685014956544} 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 537685014956544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011638514991104).

537685014956544 is an abundant number, since it is smaller than the sum of its proper divisors (1485592015025664).

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

537685014956544 is a wasteful number, since it uses less digits than its factorization.

537685014956544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 2177280000, while the sum is 72.

The spelling of 537685014956544 in words is "five hundred thirty-seven trillion, six hundred eighty-five billion, fourteen million, nine hundred fifty-six thousand, five hundred forty-four".