464453495196768 has 1152 divisors, whose sum is σ = 1806007001702400. Its totient is φ = 112788329472000.

The previous prime is 464453495196737. The next prime is 464453495196799. The reversal of 464453495196768 is 867691594354464.

464453495196768 is a `hidden beast` number, since 4 + 6 + 4 + 4 + 5 + 3 + 495 + 1 + 9 + 67 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (464453495196737) and next prime (464453495196799).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2903135403 + ... + 2903295381.

It is an arithmetic number, because the mean of its divisors is an integer number (1567714411200).

Almost surely, 2^{464453495196768} is an apocalyptic number.

464453495196768 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 464453495196768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903003500851200).

464453495196768 is an abundant number, since it is smaller than the sum of its proper divisors (1341553506505632).

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

464453495196768 is a wasteful number, since it uses less digits than its factorization.

464453495196768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160201 (or 160170 counting only the distinct ones).

The product of its digits is 18811699200, while the sum is 81.

The spelling of 464453495196768 in words is "four hundred sixty-four trillion, four hundred fifty-three billion, four hundred ninety-five million, one hundred ninety-six thousand, seven hundred sixty-eight".