385768753034112 has 1280 divisors, whose sum is σ = 1394997500160000. Its totient is φ = 103441353523200.

The previous prime is 385768753034107. The next prime is 385768753034143. The reversal of 385768753034112 is 211430357867583.

385768753034112 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 6 + 87 + 530 + 3 + 4 + 1 + 12 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 385768753034112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 42867953389 + ... + 42867962387.

It is an arithmetic number, because the mean of its divisors is an integer number (1089841797000).

Almost surely, 2^{385768753034112} is an apocalyptic number.

385768753034112 is a gapful number since it is divisible by the number (32) 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 385768753034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697498750080000).

385768753034112 is an abundant number, since it is smaller than the sum of its proper divisors (1009228747125888).

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

385768753034112 is a wasteful number, since it uses less digits than its factorization.

385768753034112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9537 (or 9516 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 385768753034112 in words is "three hundred eighty-five trillion, seven hundred sixty-eight billion, seven hundred fifty-three million, thirty-four thousand, one hundred twelve".