388747247616 has 1440 divisors, whose sum is σ = 1522863363840. Its totient is φ = 96315899904.

The previous prime is 388747247611. The next prime is 388747247617. The reversal of 388747247616 is 616742747883.

388747247616 is a `hidden beast` number, since 3 + 8 + 8 + 7 + 4 + 7 + 2 + 4 + 7 + 616 = 666.

It is a super-2 number, since 2×388747247616² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (388747247611) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10506682350 + ... + 10506682386.

Almost surely, 2^388747247616 is an apocalyptic number.

388747247616 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 388747247616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761431681920).

388747247616 is an abundant number, since it is smaller than the sum of its proper divisors (1134116116224).

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

388747247616 is an equidigital number, since it uses as much as digits as its factorization.

388747247616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 91 counting only the distinct ones).

The product of its digits is 75866112, while the sum is 63.

The spelling of 388747247616 in words is "three hundred eighty-eight billion, seven hundred forty-seven million, two hundred forty-seven thousand, six hundred sixteen".