64188939240000 has 525 divisors, whose sum is σ = 237822476392831. Its totient is φ = 17113204800000.

The previous prime is 64188939239959. The next prime is 64188939240001. The reversal of 64188939240000 is 4293988146.

The square root of 64188939240000 is 8011800.

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

64188939240000 is a `hidden beast` number, since 64 + 1 + 8 + 8 + 93 + 92 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5032412836416 + 59156526403584 = 2243304^2 + 7691328^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64188939240001) by changing a digit.

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 74 ways as a sum of consecutive naturals, for example, 14421237775 + ... + 14421242225.

Almost surely, 2^{64188939240000} is an apocalyptic number.

64188939240000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

64188939240000 is the 8011800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64188939240000

64188939240000 is an abundant number, since it is smaller than the sum of its proper divisors (173633537152831).

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

64188939240000 is an frugal number, since it uses more digits than its factorization.

64188939240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8946 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 64188939240000 in words is "sixty-four trillion, one hundred eighty-eight billion, nine hundred thirty-nine million, two hundred forty thousand".