460951664669496 has 3840 divisors, whose sum is σ = 1902283962163200. Its totient is φ = 100641893990400.

The previous prime is 460951664669491. The next prime is 460951664669521. The reversal of 460951664669496 is 694966466159064.

460951664669496 is a `hidden beast` number, since 4 + 6 + 0 + 9 + 5 + 1 + 6 + 64 + 6 + 69 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460951664669491) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 785266890115 + ... + 785266890701.

It is an arithmetic number, because the mean of its divisors is an integer number (495386448480).

Almost surely, 2^{460951664669496} 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 460951664669496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951141981081600).

460951664669496 is an abundant number, since it is smaller than the sum of its proper divisors (1441332297493704).

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

460951664669496 is a wasteful number, since it uses less digits than its factorization.

460951664669496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 10883911680, while the sum is 81.

The spelling of 460951664669496 in words is "four hundred sixty trillion, nine hundred fifty-one billion, six hundred sixty-four million, six hundred sixty-nine thousand, four hundred ninety-six".