1388054016 has 320 divisors, whose sum is σ = 4399718400. Its totient is φ = 431308800.

The previous prime is 1388053991. The next prime is 1388054023. The reversal of 1388054016 is 6104508831.

1388054016 is a `hidden beast` number, since 1 + 38 + 80 + 540 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17570265 + ... + 17570343.

It is an arithmetic number, because the mean of its divisors is an integer number (13749120).

Almost surely, 2^1388054016 is an apocalyptic number.

1388054016 is a gapful number since it is divisible by the number (16) 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 1388054016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199859200).

1388054016 is an abundant number, since it is smaller than the sum of its proper divisors (3011664384).

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

1388054016 is an equidigital number, since it uses as much as digits as its factorization.

1388054016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1388054016 is about 37256.5969460443. The cubic root of 1388054016 is about 1115.4979820930.

It can be divided in two parts, 13880 and 54016, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 1388054016 in words is "one billion, three hundred eighty-eight million, fifty-four thousand, sixteen".