38686708178496 has 1575 divisors, whose sum is σ = 140390619842913. Its totient is φ = 10532966492160.

The previous prime is 38686708178491. The next prime is 38686708178497. The reversal of 38686708178496 is 69487180768683.

The square root of 38686708178496 is 6219864.

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

38686708178496 is a `hidden beast` number, since 3 + 8 + 68 + 67 + 0 + 8 + 1 + 7 + 8 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1864142392896 + 36822565785600 = 1365336^2 + 6068160^2 .

It is a super-2 number, since 2×38686708178496² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (38686708178491) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 899690887851 + ... + 899690887893.

Almost surely, 2^{38686708178496} is an apocalyptic number.

38686708178496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38686708178496 is the 6219864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38686708178496

38686708178496 is an abundant number, since it is smaller than the sum of its proper divisors (101703911664417).

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

38686708178496 is an frugal number, since it uses more digits than its factorization.

38686708178496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4682022912, while the sum is 81.

38686708178496 divided by its sum of digits (81) gives a square (477613681216 = 691096²).

The spelling of 38686708178496 in words is "thirty-eight trillion, six hundred eighty-six billion, seven hundred eight million, one hundred seventy-eight thousand, four hundred ninety-six".