463289403948000 has 768 divisors, whose sum is σ = 1752359343501312. Its totient is φ = 104812876800000.

The previous prime is 463289403947989. The next prime is 463289403948017. The reversal of 463289403948000 is 849304982364.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3513402070 + ... + 3513533930.

It is an arithmetic number, because the mean of its divisors is an integer number (2281717895184).

Almost surely, 2^{463289403948000} is an apocalyptic number.

463289403948000 is a gapful number since it is divisible by the number (40) 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 463289403948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876179671750656).

463289403948000 is an abundant number, since it is smaller than the sum of its proper divisors (1289069939553312).

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

463289403948000 is a wasteful number, since it uses less digits than its factorization.

463289403948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132324 (or 132306 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 60.

The spelling of 463289403948000 in words is "four hundred sixty-three trillion, two hundred eighty-nine billion, four hundred three million, nine hundred forty-eight thousand".