63401852150784 has 1485 divisors, whose sum is σ = 231923975302461. Its totient is φ = 16633402490880.

The previous prime is 63401852150753. The next prime is 63401852150893. The reversal of 63401852150784 is 48705125810436.

It is a happy number.

The square root of 63401852150784 is 7962528.

It is a perfect power (a square), and thus also a powerful number.

63401852150784 is a `hidden beast` number, since 6 + 3 + 4 + 0 + 1 + 8 + 52 + 1 + 507 + 84 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 30002699510784 + 33399152640000 = 5477472^2 + 5779200^2 .

It is a super-2 number, since 2×63401852150784² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 63401852150784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1546386637804 + ... + 1546386637844.

Almost surely, 2^{63401852150784} is an apocalyptic number.

63401852150784 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

63401852150784 is the 7962528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63401852150784

63401852150784 is an abundant number, since it is smaller than the sum of its proper divisors (168522123151677).

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

63401852150784 is an frugal number, since it uses more digits than its factorization.

63401852150784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 63401852150784 in words is "sixty-three trillion, four hundred one billion, eight hundred fifty-two million, one hundred fifty thousand, seven hundred eighty-four".