388013535449820 has 72 divisors (see below), whose sum is σ = 1345113589563744. Its totient is φ = 88688808102528.

The previous prime is 388013535449789. The next prime is 388013535449873. The reversal of 388013535449820 is 28944535310883.

388013535449820 is a `hidden beast` number, since 3 + 8 + 8 + 0 + 1 + 3 + 5 + 3 + 544 + 9 + 82 + 0 = 666.

It is a super-3 number, since 3×388013535449820³ (a number of 45 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153973623919 + ... + 153973626438.

Almost surely, 2^{388013535449820} is an apocalyptic number.

388013535449820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

388013535449820 is an abundant number, since it is smaller than the sum of its proper divisors (957100054113924).

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

388013535449820 is a wasteful number, since it uses less digits than its factorization.

388013535449820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307947250379 (or 307947250374 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 388013535449820 in words is "three hundred eighty-eight trillion, thirteen billion, five hundred thirty-five million, four hundred forty-nine thousand, eight hundred twenty".