63111488400 has 405 divisors, whose sum is σ = 226086108339. Its totient is φ = 16303173120.

The previous prime is 63111488387. The next prime is 63111488423. The reversal of 63111488400 is 488411136.

It is a happy number.

The square root of 63111488400 is 251220.

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

63111488400 is a `hidden beast` number, since 63 + 1 + 114 + 88 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 475414416 + 62636073984 = 21804^2 + 250272^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 798879561 + ... + 798879639.

Almost surely, 2^63111488400 is an apocalyptic number.

63111488400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

63111488400 is the 251220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63111488400

63111488400 is an abundant number, since it is smaller than the sum of its proper divisors (162974619939).

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

63111488400 is a wasteful number, since it uses less digits than its factorization.

63111488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 63111488400 by its sum of digits (36), we get a square (2272013582400 = 1507320²).

63111488400 divided by its sum of digits (36) gives a square (1753096900 = 41870²).

Adding to 63111488400 its reverse (488411136), we get a palindrome (63599899536).

The spelling of 63111488400 in words is "sixty-three billion, one hundred eleven million, four hundred eighty-eight thousand, four hundred".