384518862139776 has 256 divisors, whose sum is σ = 1257537832266240. Its totient is φ = 101374705926144.

The previous prime is 384518862139723. The next prime is 384518862139781. The reversal of 384518862139776 is 677931268815483.

It is a super-2 number, since 2×384518862139776² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

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, 94202311 + ... + 98199353.

It is an arithmetic number, because the mean of its divisors is an integer number (4912257157290).

Almost surely, 2^{384518862139776} 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 384518862139776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628768916133120).

384518862139776 is an abundant number, since it is smaller than the sum of its proper divisors (873018970126464).

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

384518862139776 is a wasteful number, since it uses less digits than its factorization.

384518862139776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999833 (or 3999821 counting only the distinct ones).

The product of its digits is 2926264320, while the sum is 78.

The spelling of 384518862139776 in words is "three hundred eighty-four trillion, five hundred eighteen billion, eight hundred sixty-two million, one hundred thirty-nine thousand, seven hundred seventy-six".