463193399088 has 1080 divisors, whose sum is σ = 1678694217408. Its totient is φ = 118743625728.

The previous prime is 463193399033. The next prime is 463193399089. The reversal of 463193399088 is 880993391364.

463193399088 is a `hidden beast` number, since 463 + 1 + 9 + 3 + 3 + 9 + 90 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (463193399089) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6345115020 + ... + 6345115092.

Almost surely, 2^463193399088 is an apocalyptic number.

463193399088 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 463193399088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839347108704).

463193399088 is an abundant number, since it is smaller than the sum of its proper divisors (1215500818320).

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

463193399088 is a wasteful number, since it uses less digits than its factorization.

463193399088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 463193399088 in words is "four hundred sixty-three billion, one hundred ninety-three million, three hundred ninety-nine thousand, eighty-eight".