537349964013216 has 768 divisors, whose sum is σ = 1666084267008000. Its totient is φ = 168213281402880.

The previous prime is 537349964013199. The next prime is 537349964013281. The reversal of 537349964013216 is 612310469943735.

537349964013216 is a `hidden beast` number, since 5 + 3 + 7 + 3 + 4 + 9 + 9 + 6 + 401 + 3 + 216 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 184719821170 + ... + 184719824078.

It is an arithmetic number, because the mean of its divisors is an integer number (2169380556000).

Almost surely, 2^{537349964013216} 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 537349964013216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833042133504000).

537349964013216 is an abundant number, since it is smaller than the sum of its proper divisors (1128734302994784).

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

537349964013216 is a wasteful number, since it uses less digits than its factorization.

537349964013216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3922 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 537349964013216 in words is "five hundred thirty-seven trillion, three hundred forty-nine billion, nine hundred sixty-four million, thirteen thousand, two hundred sixteen".