388109701056 has 336 divisors, whose sum is σ = 1345166963712. Its totient is φ = 97555046400.

The previous prime is 388109701037. The next prime is 388109701061. The reversal of 388109701056 is 650107901883.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 388109700996 and 388109701014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3147640 + ... + 3268616.

Almost surely, 2^388109701056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388109701056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672583481856).

388109701056 is an abundant number, since it is smaller than the sum of its proper divisors (957057262656).

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

388109701056 is a wasteful number, since it uses less digits than its factorization.

388109701056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121048 (or 121031 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 388109701056 in words is "three hundred eighty-eight billion, one hundred nine million, seven hundred one thousand, fifty-six".