63414468000 has 1152 divisors, whose sum is σ = 262327403520. Its totient is φ = 14784768000.

The previous prime is 63414467971. The next prime is 63414468083. The reversal of 63414468000 is 86441436.

63414468000 is a `hidden beast` number, since 634 + 14 + 4 + 6 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1349243977 + ... + 1349244023.

It is an arithmetic number, because the mean of its divisors is an integer number (227714760).

Almost surely, 2^63414468000 is an apocalyptic number.

63414468000 is a gapful number since it is divisible by the number (60) 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 63414468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131163701760).

63414468000 is an abundant number, since it is smaller than the sum of its proper divisors (198912935520).

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

63414468000 is a wasteful number, since it uses less digits than its factorization.

63414468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 63414468000 in words is "sixty-three billion, four hundred fourteen million, four hundred sixty-eight thousand".