63116144000 has 512 divisors, whose sum is σ = 196320983040. Its totient is φ = 19646668800.

The previous prime is 63116143999. The next prime is 63116144033. The reversal of 63116144000 is 44161136.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97551677 + ... + 97552323.

It is an arithmetic number, because the mean of its divisors is an integer number (383439420).

Almost surely, 2^63116144000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63116144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98160491520).

63116144000 is an abundant number, since it is smaller than the sum of its proper divisors (133204839040).

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

63116144000 is a wasteful number, since it uses less digits than its factorization.

63116144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 63116144000 in words is "sixty-three billion, one hundred sixteen million, one hundred forty-four thousand".