38778518016 has 600 divisors, whose sum is σ = 137666501280. Its totient is φ = 10645032960.

The previous prime is 38778518011. The next prime is 38778518021. The reversal of 38778518016 is 61081587783.

It is a happy number.

38778518016 is a `hidden beast` number, since 387 + 7 + 85 + 180 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (38778518011) and next prime (38778518021).

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

It is not an unprimeable number, because it can be changed into a prime (38778518011) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 278982075 + ... + 278982213.

Almost surely, 2^38778518016 is an apocalyptic number.

38778518016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38778518016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68833250640).

38778518016 is an abundant number, since it is smaller than the sum of its proper divisors (98887983264).

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

38778518016 is an equidigital number, since it uses as much as digits as its factorization.

38778518016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 38778518016 in words is "thirty-eight billion, seven hundred seventy-eight million, five hundred eighteen thousand, sixteen".