460233902264448 has 512 divisors, whose sum is σ = 1402805361888000. Its totient is φ = 133225353510912.

The previous prime is 460233902264399. The next prime is 460233902264471. The reversal of 460233902264448 is 844462209332064.

It is a super-2 number, since 2×460233902264448² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45707999958 + ... + 45708010026.

Almost surely, 2^{460233902264448} is an apocalyptic number.

460233902264448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460233902264448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701402680944000).

460233902264448 is an abundant number, since it is smaller than the sum of its proper divisors (942571459623552).

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

460233902264448 is a wasteful number, since it uses less digits than its factorization.

460233902264448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13329 (or 13291 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 57.

The spelling of 460233902264448 in words is "four hundred sixty trillion, two hundred thirty-three billion, nine hundred two million, two hundred sixty-four thousand, four hundred forty-eight".