387513705648 has 90 divisors (see below), whose sum is σ = 1056761870724. Its totient is φ = 122346872064.

The previous prime is 387513705589. The next prime is 387513705659. The reversal of 387513705648 is 846507315783.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 81941748 + ... + 81946476.

Almost surely, 2^387513705648 is an apocalyptic number.

387513705648 is a gapful number since it is divisible by the number (38) 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 387513705648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528380935362).

387513705648 is an abundant number, since it is smaller than the sum of its proper divisors (669248165076).

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

387513705648 is an frugal number, since it uses more digits than its factorization.

387513705648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9507 (or 4753 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 387513705648 in words is "three hundred eighty-seven billion, five hundred thirteen million, seven hundred five thousand, six hundred forty-eight".