63653462369344 has 63 divisors (see below), whose sum is σ = 128424834492591. Its totient is φ = 31303066698240.

The previous prime is 63653462369327. The next prime is 63653462369363. The reversal of 63653462369344 is 44396326435636.

It is a happy number.

The square root of 63653462369344 is 7978312.

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

It can be written as a sum of positive squares in 4 ways, for example, as 43746160071744 + 19907302297600 = 6614088^2 + 4461760^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 3893408082 + ... + 3893424430.

Almost surely, 2^{63653462369344} is an apocalyptic number.

63653462369344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

63653462369344 is the 7978312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63653462369344

63653462369344 is an abundant number, since it is smaller than the sum of its proper divisors (64771372123247).

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

63653462369344 is an frugal number, since it uses more digits than its factorization.

63653462369344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32832 (or 16412 counting only the distinct ones).

The product of its digits is 604661760, while the sum is 64.

63653462369344 divided by its sum of digits (64) gives a square (994585349521 = 997289²).

The spelling of 63653462369344 in words is "sixty-three trillion, six hundred fifty-three billion, four hundred sixty-two million, three hundred sixty-nine thousand, three hundred forty-four".