38399289184656 has 315 divisors, whose sum is σ = 112521546488883. Its totient is φ = 12688891418880.

The previous prime is 38399289184609. The next prime is 38399289184667. The reversal of 38399289184656 is 65648198299383.

The square root of 38399289184656 is 6196716.

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

38399289184656 is a `hidden beast` number, since 3 + 8 + 399 + 2 + 8 + 91 + 84 + 65 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34031122304400 + 4368166880256 = 5833620^2 + 2090016^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 121133404210 + ... + 121133404526.

Almost surely, 2^{38399289184656} is an apocalyptic number.

38399289184656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38399289184656 is the 6196716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38399289184656

38399289184656 is an abundant number, since it is smaller than the sum of its proper divisors (74122257304227).

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

38399289184656 is an frugal number, since it uses more digits than its factorization.

38399289184656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 503 counting only the distinct ones).

The product of its digits is 4837294080, while the sum is 81.

38399289184656 divided by its sum of digits (81) gives a square (474065298576 = 688524²).

The spelling of 38399289184656 in words is "thirty-eight trillion, three hundred ninety-nine billion, two hundred eighty-nine million, one hundred eighty-four thousand, six hundred fifty-six".