388373254416 has 225 divisors, whose sum is σ = 1308114628821. Its totient is φ = 110918916864.

The previous prime is 388373254393. The next prime is 388373254439. The reversal of 388373254416 is 614452373883.

It is a happy number.

The square root of 388373254416 is 623196.

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

388373254416 is a `hidden beast` number, since 3 + 8 + 8 + 373 + 254 + 4 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (388373254393) and next prime (388373254439).

It can be written as a sum of positive squares in only one way, i.e., 289465520400 + 98907734016 = 538020^2 + 314496^2 .

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

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 44 ways as a sum of consecutive naturals, for example, 157044156 + ... + 157046628.

Almost surely, 2^388373254416 is an apocalyptic number.

388373254416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

388373254416 is the 623196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388373254416

388373254416 is an abundant number, since it is smaller than the sum of its proper divisors (919741374405).

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

388373254416 is an frugal number, since it uses more digits than its factorization.

388373254416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980 (or 2485 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 388373254416 in words is "three hundred eighty-eight billion, three hundred seventy-three million, two hundred fifty-four thousand, four hundred sixteen".