495963745281216 has 224 divisors, whose sum is σ = 1495710340958400. Its totient is φ = 161061518499840.

The previous prime is 495963745281131. The next prime is 495963745281239. The reversal of 495963745281216 is 612182547369594.

495963745281216 is a `hidden beast` number, since 4 + 9 + 5 + 9 + 6 + 3 + 74 + 528 + 1 + 21 + 6 = 666.

It is a super-2 number, since 2×495963745281216² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45294426 + ... + 55168038.

It is an arithmetic number, because the mean of its divisors is an integer number (6677278307850).

Almost surely, 2^{495963745281216} 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 495963745281216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747855170479200).

495963745281216 is an abundant number, since it is smaller than the sum of its proper divisors (999746595677184).

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

495963745281216 is a wasteful number, since it uses less digits than its factorization.

495963745281216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9874384 (or 9874368 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 495963745281216 in words is "four hundred ninety-five trillion, nine hundred sixty-three billion, seven hundred forty-five million, two hundred eighty-one thousand, two hundred sixteen".