63214050900 has 576 divisors, whose sum is σ = 247140182016. Its totient is φ = 12047616000.

The previous prime is 63214050883. The next prime is 63214050941. The reversal of 63214050900 is 905041236.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54353719 + ... + 54354881.

It is an arithmetic number, because the mean of its divisors is an integer number (429062816).

Almost surely, 2^63214050900 is an apocalyptic number.

63214050900 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 63214050900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123570091008).

63214050900 is an abundant number, since it is smaller than the sum of its proper divisors (183926131116).

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

63214050900 is a wasteful number, since it uses less digits than its factorization.

63214050900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 63214050900 in words is "sixty-three billion, two hundred fourteen million, fifty thousand, nine hundred".