63114199695360 has 2280 divisors, whose sum is σ = 264257823642120. Its totient is φ = 14400387809280.

The previous prime is 63114199695353. The next prime is 63114199695383. The reversal of 63114199695360 is 6359699141136.

63114199695360 is a `hidden beast` number, since 6 + 3 + 1 + 1 + 4 + 1 + 9 + 96 + 9 + 536 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8347569094656 + 54766630600704 = 2889216^2 + 7400448^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3712599982072 + ... + 3712599982088.

It is an arithmetic number, because the mean of its divisors is an integer number (115902554229).

Almost surely, 2^{63114199695360} is an apocalyptic number.

63114199695360 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 63114199695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132128911821060).

63114199695360 is an abundant number, since it is smaller than the sum of its proper divisors (201143623946760).

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

63114199695360 is an frugal number, since it uses more digits than its factorization.

63114199695360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 63.

The spelling of 63114199695360 in words is "sixty-three trillion, one hundred fourteen billion, one hundred ninety-nine million, six hundred ninety-five thousand, three hundred sixty".