462046869648 has 480 divisors, whose sum is σ = 1668584037120. Its totient is φ = 121335459840.

The previous prime is 462046869637. The next prime is 462046869653. The reversal of 462046869648 is 846968640264.

462046869648 is a `hidden beast` number, since 46 + 2 + 0 + 468 + 6 + 96 + 48 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66315861 + ... + 66322827.

It is an arithmetic number, because the mean of its divisors is an integer number (3476216744).

Almost surely, 2^462046869648 is an apocalyptic number.

462046869648 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 462046869648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834292018560).

462046869648 is an abundant number, since it is smaller than the sum of its proper divisors (1206537167472).

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

462046869648 is a wasteful number, since it uses less digits than its factorization.

462046869648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7252 (or 7233 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 462046869648 in words is "four hundred sixty-two billion, forty-six million, eight hundred sixty-nine thousand, six hundred forty-eight".