65923008738048 has 1440 divisors, whose sum is σ = 248388482496000. Its totient is φ = 16892547563520.

The previous prime is 65923008737959. The next prime is 65923008738091. The reversal of 65923008738048 is 84083780032956.

65923008738048 is a `hidden beast` number, since 6 + 592 + 3 + 0 + 0 + 8 + 7 + 38 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×65923008738048² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 77283714390 + ... + 77283715242.

Almost surely, 2^{65923008738048} 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 65923008738048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124194241248000).

65923008738048 is an abundant number, since it is smaller than the sum of its proper divisors (182465473757952).

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

65923008738048 is a wasteful number, since it uses less digits than its factorization.

65923008738048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 65923008738048 in words is "sixty-five trillion, nine hundred twenty-three billion, eight million, seven hundred thirty-eight thousand, forty-eight".